480031956 has 18 divisors (see below), whose sum is σ = 1213414202. Its totient is φ = 160010640.

The previous prime is 480031943. The next prime is 480031957. The reversal of 480031956 is 659130084.

It can be written as a sum of positive squares in only one way, i.e., 308002500 + 172029456 = 17550^2 + 13116^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13334221 = 480031956 / (4 + 8 + 0 + 0 + 3 + 1 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 480031956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480031957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6667075 + ... + 6667146.

Almost surely, 2^480031956 is an apocalyptic number.

It is an amenable number.

480031956 is an abundant number, since it is smaller than the sum of its proper divisors (733382246).

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

480031956 is a wasteful number, since it uses less digits than its factorization.

480031956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334231 (or 13334226 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 480031956 is about 21909.6315806542. The cubic root of 480031956 is about 782.9909033357.

The spelling of 480031956 in words is "four hundred eighty million, thirty-one thousand, nine hundred fifty-six".