479607408 has 240 divisors, whose sum is σ = 1623038976. Its totient is φ = 129254400.

The previous prime is 479607389. The next prime is 479607413. The reversal of 479607408 is 804706974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3176133 + ... + 3176283.

Almost surely, 2^479607408 is an apocalyptic number.

479607408 is a gapful number since it is divisible by the number (48) 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 479607408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811519488).

479607408 is an abundant number, since it is smaller than the sum of its proper divisors (1143431568).

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

479607408 is a wasteful number, since it uses less digits than its factorization.

479607408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 479607408 is about 21899.9408218379. The cubic root of 479607408 is about 782.7600053268.

The spelling of 479607408 in words is "four hundred seventy-nine million, six hundred seven thousand, four hundred eight".