479252304 has 120 divisors (see below), whose sum is σ = 1431504360. Its totient is φ = 149151744.

The previous prime is 479252303. The next prime is 479252327. The reversal of 479252304 is 403252974.

479252304 is a `hidden beast` number, since 47 + 92 + 523 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48274704 + 430977600 = 6948^2 + 20760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479252303) 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 23 ways as a sum of consecutive naturals, for example, 334662 + ... + 336090.

It is an arithmetic number, because the mean of its divisors is an integer number (11929203).

Almost surely, 2^479252304 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 479252304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715752180).

479252304 is an abundant number, since it is smaller than the sum of its proper divisors (952252056).

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

479252304 is a wasteful number, since it uses less digits than its factorization.

479252304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 479252304 is about 21891.8319014193. The cubic root of 479252304 is about 782.5667710037.

The spelling of 479252304 in words is "four hundred seventy-nine million, two hundred fifty-two thousand, three hundred four".