480
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 1512
- Proper Divisor Sum (Aliquot Sum)
- 1032
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 128
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 22
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- vierhundertachtzig· ordinal: vierhundertachtzigste
- English
- four hundred eighty· ordinal: four hundred eightieth
- Spanish
- cuatrocientos ochenta· ordinal: 480º
- French
- quatre cent quatre-vingts· ordinal: quatre cent quatre-vingtsième
- Italian
- quattrocentoottanta· ordinal: 480º
- Latin
- quadringenti octoginta· ordinal: 480.
- Portuguese
- quatrocentos e oitenta· ordinal: 480º
Appears in sequences
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=17A000099
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=31A000114
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=29A000114
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=38A000118
- Number of ways of writing n as a sum of 5 squares.at n=17A000132
- Number of ways of writing n as a sum of 16 squares.at n=2A000152
- Number of invertible 2 X 2 matrices mod n.at n=4A000252
- Jordan-Polya numbers: products of factorial numbers A000142.at n=24A001013
- Numbers that are the sum of 2 successive primes.at n=51A001043
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=29A001172
- Number of partitions of n into at most 5 parts.at n=27A001401
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=22A001682
- Numbers n such that every digit contains a loop (version 2).at n=40A001744
- a(n) = binomial(n,2) * 2^(n-1).at n=6A001815
- Solutions of a fifth-order probability difference equation.at n=14A001949
- Number of partitions of 3n into n parts from the set {0, 1, ..., 6} (repetitions admissible).at n=11A001977
- Number of partitions of 3n-1 into n nonnegative integers each no more than 6.at n=11A001978
- From a distribution problem.at n=4A002018
- Highly abundant numbers: numbers k such that sigma(k) > sigma(m) for all m < k.at n=34A002093
- Number of divisors of n-th highly composite number.at n=47A002183