480956 has 24 divisors (see below), whose sum is σ = 977760. Its totient is φ = 202752.

The previous prime is 480941. The next prime is 480959. The reversal of 480956 is 659084.

It is a super-3 number, since 3×480956³ = 333762312424688448, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480956.

It is not an unprimeable number, because it can be changed into a prime (480959) by changing a digit.

480956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2396 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (40740).

2⁴⁸⁰⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

480956 is an abundant number, since it is smaller than the sum of its proper divisors (496804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480956 is a wasteful number, since it uses less digits than its factorization.

480956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 480956 is about 693.5099134115. The cubic root of 480956 is about 78.3492990946.

The spelling of 480956 in words is "four hundred eighty thousand, nine hundred fifty-six".