480 (number)

← 479 480 481 →
List of numbers; Integers; ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	four hundred eighty
Ordinal	480th; (four hundred eightieth)
Factorization	25 × 3 × 5
Divisors	1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greek numeral	ΥΠ´
Roman numeral	CDLXXX
Binary	1111000002
Ternary	1222103
Senary	21206
Octal	7408
Duodecimal	34012
Hexadecimal	1E016

480 (four hundred [and] eighty) is the natural number following 479 and preceding 481.

In mathematics

480 = 2⁵ × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number, refactorable number, Harshad number

\sum _{n=0}^{10}{480}^{n}

is prime^[1]

In other fields

In Pokemon Mystery Dungeon: Explorers of Time, Darkness, and Sky, the Groudon that serves as the boss at Steam Cave Peak in Chapter 9 of the game's story has 480 HP. Defeating it earns the player access to Fogbound Lake.

References

^ Sloane, N. J. A. (ed.). "Sequence A162862 (Numbers n such that n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.

[1] Sloane, N. J. A. (ed.). "Sequence A162862 (Numbers n such that n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.

[1]