479287920 has 80 divisors (see below), whose sum is σ = 1564007040. Its totient is φ = 121082112.

The previous prime is 479287903. The next prime is 479287927. The reversal of 479287920 is 29782974.

479287920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 479287920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479287927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47994 + ... + 57113.

It is an arithmetic number, because the mean of its divisors is an integer number (19550088).

Almost surely, 2^479287920 is an apocalyptic number.

479287920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

479287920 is an abundant number, since it is smaller than the sum of its proper divisors (1084719120).

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

479287920 is a wasteful number, since it uses less digits than its factorization.

479287920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105142 (or 105136 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 479287920 is about 21892.6453403877. The cubic root of 479287920 is about 782.5861562054.

The spelling of 479287920 in words is "four hundred seventy-nine million, two hundred eighty-seven thousand, nine hundred twenty".