479556960 has 96 divisors (see below), whose sum is σ = 1590140160. Its totient is φ = 121148928.

The previous prime is 479556911. The next prime is 479556967. The reversal of 479556960 is 69655974.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479556967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17172 + ... + 35411.

It is an arithmetic number, because the mean of its divisors is an integer number (16563960).

Almost surely, 2^479556960 is an apocalyptic number.

479556960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

479556960 is an abundant number, since it is smaller than the sum of its proper divisors (1110583200).

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

479556960 is a wasteful number, since it uses less digits than its factorization.

479556960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52620 (or 52612 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The square root of 479556960 is about 21898.7890076141. The cubic root of 479556960 is about 782.7325592249.

The spelling of 479556960 in words is "four hundred seventy-nine million, five hundred fifty-six thousand, nine hundred sixty".