479304864 has 144 divisors (see below), whose sum is σ = 1441413792. Its totient is φ = 156619008.

The previous prime is 479304809. The next prime is 479304869. The reversal of 479304864 is 468403974.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (479304869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411547 + ... + 412709.

It is an arithmetic number, because the mean of its divisors is an integer number (10009818).

Almost surely, 2^479304864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720706896).

479304864 is an abundant number, since it is smaller than the sum of its proper divisors (962108928).

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

479304864 is a wasteful number, since it uses less digits than its factorization.

479304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 479304864 is about 21893.0323162416. The cubic root of 479304864 is about 782.5953782082.

The spelling of 479304864 in words is "four hundred seventy-nine million, three hundred four thousand, eight hundred sixty-four".