479604000 has 192 divisors, whose sum is σ = 1664312832. Its totient is φ = 120320000.

The previous prime is 479603977. The next prime is 479604043. The reversal of 479604000 is 406974.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202825 + ... + 205175.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2^479604000 is an apocalyptic number.

479604000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832156416).

479604000 is an abundant number, since it is smaller than the sum of its proper divisors (1184708832).

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

479604000 is a wasteful number, since it uses less digits than its factorization.

479604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 479604000 is about 21899.8630132702. The cubic root of 479604000 is about 782.7581512740.

The spelling of 479604000 in words is "four hundred seventy-nine million, six hundred four thousand".