400 (number)

Template:About Template:Infobox number 400 (four hundred) is the natural number following 399 and preceding 401. Template:TOC limit

Mathematical properties

A circle is divided into 400 grads.

Integers from 401 to 499

400s

401

401 is a prime number, tetranacci number,<ref>Template:Cite OEIS</ref> Chen prime,<ref name=A109611>Template:Cite OEIS</ref> prime index prime

• Eisenstein prime with no imaginary part
• Sum of seven consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71)
• Sum of nine consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61)
• Mertens function returns 0,<ref name=A028442>Template:Cite OEIS</ref>
• Member of the Mian–Chowla sequence.<ref name=A005282>Template:Cite OEIS</ref>

402

402 = 2 × 3 × 67, sphenic number, nontotient, Harshad number, number of graphs with 8 nodes and 9 edges<ref>Template:Cite OEIS</ref>

• HTTP status code for "Payment Required".
• The area code for Nebraska.

403

403 = 13 × 31, heptagonal number, Mertens function returns 0.<ref name=A028442/>

• First number that is the product of an emirp pair.<ref>Template:Cite OEIS</ref>
• HTTP 403, the status code for "Forbidden"
• Also in the name of a retirement plan in the United States, 403(b).
• The area code for southern Alberta.

404

404 = 2² × 101, Mertens function returns 0,<ref name=A028442/> nontotient, noncototient, number of integer partitions of 20 with an alternating permutation.<ref>Template:Cite OEIS</ref>

• The HTTP 404 status code is usually sent from a web page if a user attempts to reach a broken or dead link. It has since become one of the most commonly reached, and thus most recognizable errors on the World Wide Web.<ref>Template:Cite magazine</ref>
• Section 404 of the Sarbanes–Oxley Act.
• One of the four area codes of the Atlanta calling area.

405

405 = 3⁴ × 5, Mertens function returns 0,<ref name=A028442/> Harshad number, pentagonal pyramidal number;

• HTTP status code for "Method Not Allowed".
• Area code for central Oklahoma, including Oklahoma City and surrounding suburbs.
• Interstate 405 is a major, heavily traveled freeway in Southern California, known to the local as "The 405".
• Sum of all numbers in a standard (3x3)x(3x3) Sudoku.

406

406 = 2 × 7 × 29, sphenic number, 28th triangular number,<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> centered nonagonal number,<ref>Template:Cite OEIS</ref> even nontotient, Narayana's cow number<ref>Template:Cite OEIS</ref>

• HTTP status code for "Not Acceptable".

• 406 is a poem by John Boyle O'Reilly. It was believed to have been the number of one of O'Reilly's prison cells, and was the number of his first hotel room after he arrived in the United States. Hence the number had a mystical significance to him, as intimated in the poem.
• Peugeot 406 car.
• Area code for all of Montana.

407

407 = 11 × 37,

• Sum of cubes of 4, 0 and 7 (4³ + 0³ + 7³ = 407); narcissistic number<ref>Template:Cite OEIS</ref>
• Sum of three consecutive primes (131 + 137 + 139)
• Mertens function returns 0<ref name=A028442/>
• Harshad number
• Lazy caterer number <ref name=A000124>Template:Cite OEIS</ref>
• HTTP status code for "Proxy Authentication Required"
• Area code for Orlando, Florida
• Colloquial name for the Express Toll Route in Ontario

408

408 = 2³ × 3 × 17

• Sum of four consecutive primes (97 + 101 + 103 + 107)
• Sum of eight consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67)
• Pell number<ref>Template:Cite OEIS</ref>
• Mertens function returns 0<ref name=A028442/>
• Octagonal number<ref name=A000567>Template:Cite OEIS</ref>
• Untouchable number<ref name=A005114>Template:Cite OEIS</ref>
• Harshad number
• HTTP status code for "Request Timeout"
• Area code for the Silicon Valley

409

409 is a prime number, Chen prime,<ref name=A109611/> centered triangular number.<ref name=A005448>Template:Cite OEIS</ref>

• A family of cleaning products, Formula 409
• An engine known as the Chevrolet 409, a 409 cubic inch W-series V8.
• The song "409" by The Beach Boys, inspired by the above engine
• HTTP status code for "Conflict"
• A Green Day song, "409 in Your Coffeemaker", included on their album 1,039/Smoothed Out Slappy Hours
• The area code for the corner of southeastern Texas
• Venice has 409 bridges.<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

• A Bullet For My Valentine song, "Room 409", from the album The Poison
• Joe Paterno holds the record as the winningest head coach in NCAA FBS with 409 victories.

410s

410

410 = 2 × 5 × 41, sphenic number, sum of six consecutive primes (59 + 61 + 67 + 71 + 73 + 79), nontotient, Harshad number, number of triangle-free graphs on 8 vertices<ref>Template:Cite OEIS</ref>

• HTTP status code for "Gone".
• Area Code 410, a telephone area code for the US State of Maryland, representing portions of the state including the Baltimore metropolitan area and the Eastern Shore.

411

411 = 3 × 137, self number,<ref name=A003052>Template:Cite OEIS</ref>

• HTTP status code for "Length Required", slang for information (see 4-1-1)
• The number of possible FM broadcasting frequencies between 87.50 and 108.00 MHz in 50 kHz spacing countriesTemplate:Importance inline

412

412 = 2² × 103, nontotient, noncototient, sum of twelve consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), 412⁶⁴ + 1 is prime

• HTTP status code for "Precondition Failed"
• Area code for Pittsburgh, Pennsylvania.
• Fictitious Police Code for "Overacting" from "St. George and the Dragonet" - Stan Freberg

413

413 = 7 × 59, Mertens function returns 0,<ref name=A028442/> self number,<ref name=A003052/> Blum integer

• HTTP status code for "Request Entity Too Large"
• Area code for Western Massachusetts.
• An important and recurring number in the webcomic Homestuck by Andrew Hussie.

414

414 = 2 × 3² × 23, Mertens function returns 0,<ref name=A028442/> nontotient, Harshad number, number of balanced partitions of 31<ref>Template:Cite OEIS</ref>

<math>\sum_{n=0}^{10}{414}^{n}</math> is prime<ref name=A162862>Template:Cite OEIS</ref>

• HTTP status code for "Request-URI Too Long"
• Area code for Milwaukee, Wisconsin.
• The 414s, a group of hackers from Milwaukee, Wisconsin.

415

415 = 5 × 83, logarithmic number<ref>Template:Cite OEIS</ref>

• HTTP status code for "Unsupported Media Type"
• 415 Records, a record label
• 415 refers to California Penal Code, section 415, pertaining to public fighting, public disturbance, and public use of offensive words likely to provoke an immediate violent reaction.
• Area code 415, a telephone area code for San Francisco, California

416

416 = 2⁵ × 13, number of independent vertex sets and vertex covers in the 6-sunlet graph<ref>Template:Cite OEIS</ref>

• HTTP status code for "Requested Range Not Satisfiable"
• 416 is also a nickname for the city of Toronto, based on the area code it used before overlay plans added two more area codes.

417

417 = 3 × 139, Blum integer

• HTTP status code for "Expectation Failed". Also the area code for southwestern Missouri, including Springfield, and Joplin.

418

418 = 2 × 11 × 19; sphenic number,<ref>Template:Cite OEIS</ref> balanced number.<ref>Template:Cite OEIS</ref> It is also the fourth 71-gonal number.<ref>Template:Cite book</ref>

• The sum of the integers between 13 and 31, inclusive.
• The product of its digits as well as the sum of its prime factors are both 32. Also, 131, a strong concatenation of 13 and 31, is the 32nd prime number (while the 32nd composite number is 48).
• The sum of the 84 digits of the 22nd unique prime in decimal (having a very distinct set of digits than all other known terms in the sequence).<ref>Template:Cite OEIS

That number is 142,857,157,142,857,142,856,999,999,985,714,285,714,285,857,142,857,142,855,714,285,571,428,571,428,572,857,143.</ref>

• The number of Abrahadabra
• Hyper Text Coffee Pot Control Protocol status code for "Teapot" as an April Fools' joke.<ref>Template:Cite journal</ref><ref>Template:Cite journal</ref>

419

A prime number, Sophie Germain prime,<ref name=A005384>Template:Cite OEIS</ref> Chen prime,<ref name=A109611/> Eisenstein prime with no imaginary part, highly cototient number,<ref>Template:Cite OEIS</ref> Mertens function returns 0<ref name=A028442/>

• Refers to the Nigerian advance fee fraud scheme (after the section of the Nigerian Criminal Code it violates)
• The Area Code for Toledo, OH and other surrounding areas.

420s

420

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}}

421

• A prime number, sum of five consecutive primes (73 + 79 + 83 + 89 + 97), centered square number,<ref name=A001844>Template:Cite OEIS</ref> also SMTP code meaning the transmission channel will be closing
• Country calling code for Slovakia

422

422 = 2 × 211, Mertens function returns 0,<ref name=A028442/> nontotient, since 422 = 20² + 20 + 2 it is the maximum number of regions into which 21 intersecting circles divide the plane.<ref name=A014206>Template:Cite OEIS</ref>

423

423 = 3² × 47, Mertens function returns 0,<ref name=A028442/> Harshad number, number of secondary structures of RNA molecules with 10 nucleotides<ref>Template:Cite OEIS</ref>

• Country calling code for Liechtenstein

424

424 = 2³ × 53, sum of ten consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0,<ref name=A028442/> refactorable number,<ref name=A033950>Template:Cite OEIS</ref> self number<ref name=A003052/>

425

425 = 5² × 17, pentagonal number,<ref name=A000326>Template:Cite OEIS</ref> centered tetrahedral number, sum of three consecutive primes (137 + 139 + 149), Mertens function returns 0,<ref name=A028442/> the second number that can be expressed as the sum of two squares in three different ways (425 = 20² + 5² = 19² + 8² = 16² + 13²).

• 425 is an area code in Washington State.

426

426 = 2 × 3 × 71, sphenic number, nontotient, untouchable number

427

427 = 7 × 61, Mertens function returns 0.<ref name=A028442/> 427! + 1 is prime.

428

428 = 2² × 107, Mertens function returns 0, nontotient, 428³² + 1 is prime<ref>Template:Cite OEIS</ref>

• 428: Shibuya Scramble, a video game

429

429 = 3 × 11 × 13, sphenic number, Catalan number<ref>Template:Cite OEIS</ref>

430s

430

430 = 2 × 5 × 43, number of primes below 3000, sphenic number, untouchable number<ref name=A005114/>

431

A prime number, Sophie Germain prime,<ref name=A005384/> sum of seven consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73), Chen prime,<ref name=A109611/> prime index prime, Eisenstein prime with no imaginary part

• It is also the fourth Leyland prime of the second kind.
• Area code 431 is a telephone area code for Manitoba, Canada.

432

432 = 2⁴ × 3³ = 4² × 3³, the sum of four consecutive primes (103 + 107 + 109 + 113), a Harshad number, a highly totient number,<ref name=A097942>Template:Cite OEIS</ref> an Achilles number and the sum of totient function for first 37 integers. 432! is the first factorial that is not a Harshad number in base 10. 432 is also three-dozen sets of a dozen, making it three gross. An equilateral triangle whose area and perimeter are equal, has an area (and perimeter) equal to <math>\sqrt{432}</math>.

433

A prime number, Markov number,<ref>Template:Cite OEIS</ref> star number.<ref>Template:Cite OEIS</ref>

• The perfect score in the game show Fifteen To One, only ever achieved once in over 2000 shows.
• 433 can refer to composer John Cage's composition 4′33″ (pronounced "Four minutes, thirty-three seconds" or just "Four thirty-three").

434

434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes (61 + 67 + 71 + 73 + 79 + 83), nontotient, maximal number of pieces that can be obtained by cutting an annulus with 28 cuts<ref name=A000096>Template:Cite OEIS</ref>

435

435 = 3 × 5 × 29, sphenic number, 29th triangular number,<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> hexagonal number,<ref>Template:Cite OEIS</ref> self number,<ref name=A003052/> number of compositions of 16 into distinct parts<ref>Template:Cite OEIS</ref>

• The number of members in the US House of Representatives.

436

436 = 2² × 109, nontotient, noncototient, lazy caterer number <ref name=A000124/>

437

437 = 19 × 23, Blum integer

438

438 = 2 × 3 × 73, sphenic number, Smith number.<ref name=A006753>Template:Cite OEIS</ref>

• The "438 match" or "438 game" has been used by cricket media to describe the famous 2006 One Day International in which Australia scored a world record 434 in their innings, only to see South Africa respond in their innings with 438.

439

A prime number, sum of three consecutive primes (139 + 149 + 151), sum of nine consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), strictly non-palindromic number<ref name=A016038>Template:Cite OEIS</ref>

440s

440

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}}

441

441 = 3² × 7² = 21²

• 441 is the sum of the cubes of the first 6 natural numbers (441 = 1³ + 2³ + 3³ + 4³ + 5³ + 6³).
• 441 is a centered octagonal number,<ref>Template:Cite OEIS</ref> a refactorable number,<ref name=A033950/> and a Harshad number.
• 441 is the number of squares on a Super Scrabble board.

442

442 = 2 × 13 × 17 = 21² + 1,<ref>Template:Cite OEIS</ref> sphenic number, sum of eight consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71)

443

A prime number, Sophie Germain prime,<ref name=A005384/> Chen prime,<ref name=A109611/> Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659.

• In computing, it is the default port for HTTPS connections.

444

444 = 2² × 3 × 37, refactorable number,<ref name=A033950/> Harshad number, number of noniamonds without holes,<ref>Template:Cite OEIS</ref> and a repdigit.

• The title of the final track of Autechre's 1993 debut album Incunabula.
• The 444th Fighter Squadron "Spare", a fictional air squadron in Ace Combat 7: Skies Unknown.

445

445 = 5 × 89, number of series-reduced trees with 17 nodes<ref>Template:Cite OEIS</ref>

446

446 = 2 × 223, nontotient, self number<ref name=A003052/>

447

447 = 3 × 149, number of 1's in all partitions of 22 into odd parts<ref>Template:Cite OEIS</ref>

• The flight number of Air France Flight 447

448

448 = 2⁶ × 7, untouchable number,<ref name=A005114/> refactorable number,<ref name=A033950/> Harshad number

449

A prime number, sum of five consecutive primes (79 + 83 + 89 + 97 + 101), Chen prime,<ref name=A109611/> Eisenstein prime with no imaginary part, Proth prime.<ref>Template:Cite OEIS</ref> Also the largest number whose factorial is less than 10¹⁰⁰⁰

450s

450

450 = 2 × 3² × 5², nontotient, sum of totient function for first 38 integers, refactorable number,<ref name=A033950/> Harshad number,

• SMTP code meaning the requested mail action was not carried out.
• A perfect score in Canadian five-pin bowling.
• An area code in Southern Quebec.

451

451 = 11 × 41; 451 is a Wedderburn–Etherington number<ref>Template:Cite OEIS</ref> and a centered decagonal number;<ref>Template:Cite OEIS</ref> its reciprocal has period 10; 451 is the smallest number with this period reciprocal length.

• The novel Fahrenheit 451 refers to the temperature in Fahrenheit that author Ray Bradbury understood to be the autoignition point of paper.
  • By extension, the numbers "451" are often included as the first security code a player encounters in Immersive sim video games as a reference to the System Shock series of games which first included the code as their own reference to Bradbury's novel.<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

• HTTP status code for "Unavailable For Legal Reasons" a HTTP response error when the user requests an illegal resource, such as a web page censored by a government.<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

452

452 = 2² × 113, number of surface-points of a tetrahedron with edge-length 15<ref>Template:Cite OEIS</ref>

• SMTP code meaning that the requested mail action was not carried out because of insufficient system storage

453

453 = 3 × 151, Blum integer

454

454 = 2 × 227, nontotient, a Smith number<ref name=A006753/>

455

455 = 5 × 7 × 13, sphenic number, tetrahedral number<ref>Template:Cite OEIS</ref>

• 455 Rocket is the title of a song by Kathy Mattea
• 455 kHz is a standard intermediate frequency for analog superheterodyne AM broadcast band receivers.
• The sum of the squares of the first 455 primes is divisible by 455.<ref>Template:Cite OEIS</ref>

456

456 = 2³ × 3 × 19, sum of a twin prime (227 + 229), sum of four consecutive primes (107 + 109 + 113 + 127), centered pentagonal number,<ref>Template:Cite OEIS</ref> icosahedral number

• In the TV show Torchwood: Children of Earth, the antagonists were an alien species with the designation 456.
• One of the two values of the magical formula, IPSOS, the other being 696.<ref>Template:Cite book</ref>
• Number of contestants in the South Korean Netflix drama Squid Game.

457

• A prime number, sum of three consecutive primes (149 + 151 + 157), self number.<ref name=A003052/>
• The international standard frequency for radio avalanche transceivers (457 kHz).

458

458 = 2 × 229, nontotient, number of partitions of 24 into divisors of 24<ref>Template:Cite OEIS</ref>

459

459 = 3³ × 17, triangular matchstick number<ref>Template:Cite OEIS</ref>

• 459 West 18th Street, a residential building at that address in Manhattan's West Chelsea neighborhood, built in 2008.

460s

460

460 = 2² × 5 × 23, centered triangular number,<ref name=A005448/> dodecagonal number,<ref>Template:Cite OEIS</ref> Harshad number, sum of twelve consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61)

461

A prime number, Chen prime,<ref name=A109611/> sexy prime with 467, Eisenstein prime with no imaginary part, prime index prime

462

462 = 2 × 3 × 7 × 11, binomial coefficient <math> \tbinom {11}5 </math>, stirling number of the second kind <math>\left\{ {9 \atop 7} \right\}</math>, sum of six consecutive primes (67 + 71 + 73 + 79 + 83 + 89), pronic number,<ref>Template:Cite OEIS</ref> sparsely totient number,<ref>Template:Cite OEIS</ref> idoneal number

463

A prime number, sum of seven consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79), centered heptagonal number.<ref>Template:Cite OEIS</ref> This number is the first of seven consecutive primes that are one less than a multiple of 4 (from 463 to 503).

• Number of days in the synodic period of Ceres
• A common baseball double play (see baseball positions)
• A single by Buck 65, named after the baseball term

464

Template:See also 464 = 2⁴ × 29, primitive abundant number,<ref>Template:Cite OEIS</ref> since 464 = 21² + 21 + 2 it is the maximum number of regions into which 22 intersecting circles divide the plane,<ref name=A014206/> maximal number of pieces that can be obtained by cutting an annulus with 29 cuts<ref name=A000096/>

• In chess it is the number of legal positions of the kings, not counting mirrored positions. Has some importance when constructing an endgame tablebase.
• Model number of the home computer Amstrad CPC 464.

465

465 = 3 × 5 × 31, sphenic number, 30th triangular number,<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> member of the Padovan sequence,<ref>Template:Cite OEIS</ref> Harshad number

466

466 = 2 × 233, noncototient, lazy caterer number.<ref name=A000124/>

467

A prime number, safe prime,<ref name=A005385>Template:Cite OEIS</ref> sexy prime with 461, Chen prime,<ref name=A109611/> Eisenstein prime with no imaginary part

<math>\sum_{n=0}^{10}{467}^{n}</math> is prime<ref name=A162862/>

468

468 = 2² × 3² × 13, sum of ten consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), refactorable number,<ref name=A033950/> self number,<ref name=A003052/> Harshad number

469

469 = 7 × 67, centered hexagonal number.<ref>Template:Cite OEIS</ref> 469! - 1 is prime.

470s

470

470 = 2 × 5 × 47, sphenic number, nontotient, noncototient, cake number

• In golf, 470 is the minimum length in yards from the tee to the hole on a Par 5.
• 470 is an Olympic class of sailing dinghy

471

471 = 3 × 157, sum of three consecutive primes (151 + 157 + 163), perfect totient number,<ref>Template:Cite OEIS</ref> φ(471) = φ(σ(471)).<ref name=A006872>Template:Cite OEIS</ref>

472

472 = 2³ × 59, nontotient, untouchable number,<ref name=A005114/> refactorable number,<ref name=A033950/> number of distinct ways to cut a 5 × 5 square into squares with integer sides<ref>Template:Cite OEIS</ref>

• The Amstrad CPC472 was a short-lived home computer for the Spanish market.

473

473 = 11 × 43, sum of five consecutive primes (83 + 89 + 97 + 101 + 103), Blum integer

474

474 = 2 × 3 × 79, sphenic number, sum of eight consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73), nontotient, noncototient, sum of totient function for first 39 integers, untouchable number,<ref name=A005114/> nonagonal number<ref>Template:Cite OEIS</ref>

475

475 = 5² × 19, 49-gonal number, member of the Mian–Chowla sequence.<ref name=A005282/>

476

476 = 2² × 7 × 17, Harshad number, admirable number<ref>Template:Cite OEIS</ref>

477

477 = 3² × 53, pentagonal number<ref name=A000326/>

478

478 = 2 × 239, Companion Pell number, number of partitions of 26 that do not contain 1 as a part<ref>Template:Cite OEIS</ref>

479

A prime number, safe prime,<ref name=A005385/> sum of nine consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71), Chen prime,<ref name=A109611/> Eisenstein prime with no imaginary part, self number<ref name=A003052/>

• Also an area code in the U.S. state of Arkansas.

480s

480

480 = 2⁵ × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number,<ref name=A097942/> refactorable number,<ref name=A033950/> Harshad number, largely composite number<ref name="OEIS-A067128">Template:Cite OEIS</ref>

<math>\sum_{n=0}^{10}{480}^{n}</math> is prime<ref name=A162862/>

481

481 = 13 × 37, octagonal number,<ref name=A000567/> centered square number,<ref name=A001844/> Harshad number

482

482 = 2 × 241, nontotient, noncototient, number of series-reduced planted trees with 15 nodes<ref>Template:Cite OEIS</ref>

483

483 = 3 × 7 × 23, sphenic number, Smith number<ref name=A006753/>

484

484 = 2² × 11² = 22², palindromic square, nontotient

485

485 = 5 × 97, number of triangles (of all sizes, including holes) in Sierpiński's triangle after 5 inscriptions<ref>Template:Cite OEIS</ref>

• RS-485

486

486 = 2 × 3⁵, Harshad number, Perrin number<ref>Template:Cite OEIS</ref>

• Shorthand for the Intel 80486 microprocessor chip.

487

A prime number, sum of three consecutive primes (157 + 163 + 167), Chen prime,<ref name=A109611/>

• The only primes under 7.74 × 10¹³ that divide their own decimal repetends are 3, 487, and 56598313.<ref>Template:Cite OEIS</ref>
• Shorthand for the Intel 80487 floating point processor chip.

488

488 = 2³ × 61, nontotient, refactorable number,<ref name=A033950/> φ(488) = φ(σ(488)),<ref name=A006872/> number of surface points on a cube with edge-length 10.<ref>Template:Cite OEIS</ref>

489

489 = 3 × 163, octahedral number<ref>Template:Cite OEIS</ref>

490s

490

490 = 2 × 5 × 7², noncototient, sum of totient function for first 40 integers, number of integer partitions of 19,<ref>Template:Cite OEIS</ref> self number.<ref name=A003052/>

• A (possibly arbitrary) large number in the Christian Gospel of Matthew. In Matthew 18:21–35, Jesus tells the Parable of the Unforgiving Servant, instructing Peter to forgive his brother "seventy times seven" times when his brother sins against him [1].

491

A prime number, isolated prime, Sophie Germain prime,<ref name=A005384/> Chen prime,<ref name=A109611/> Eisenstein prime with no imaginary part, strictly non-palindromic number<ref name=A016038/>

492

492 = 2² × 3 × 41, sum of six consecutive primes (71 + 73 + 79 + 83 + 89 + 97), refactorable number,<ref name=A033950/> member of a Ruth–Aaron pair with 493 under first definition

493

493 = 17 × 29, sum of seven consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83), member of a Ruth–Aaron pair with 492 under first definition, the 493d centered octagonal number is also a centered square number<ref>Template:Cite OEIS</ref>

494

494 = 2 × 13 × 19 = <math> \left\langle \!\! \left\langle {8 \atop 1} \right\rangle \!\! \right\rangle</math>,<ref>Template:Cite OEIS</ref> sphenic number, nontotient

495

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}}

496

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}}

497

497 = 7 × 71, sum of five consecutive primes (89 + 97 + 101 + 103 + 107), lazy caterer number.<ref name=A000124/>

498

498 = 2 × 3 × 83, sphenic number, untouchable number,<ref name=A005114/> admirable number,<ref>Template:Cite OEIS</ref> abundant number

499

A prime number, isolated prime, Chen prime,<ref name=A109611/> 4⁴⁹⁹ - 3⁴⁹⁹ is prime