479607552 has 216 divisors, whose sum is σ = 1459121664. Its totient is φ = 151345152.

The previous prime is 479607497. The next prime is 479607581. The reversal of 479607552 is 255706974.

479607552 is a `hidden beast` number, since 4 + 7 + 96 + 0 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 479607498 and 479607507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4656333 + ... + 4656435.

Almost surely, 2^479607552 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 479607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729560832).

479607552 is an abundant number, since it is smaller than the sum of its proper divisors (979514112).

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

479607552 is a wasteful number, since it uses less digits than its factorization.

479607552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 479607552 is about 21899.9441095177. The cubic root of 479607552 is about 782.7600836669.

The spelling of 479607552 in words is "four hundred seventy-nine million, six hundred seven thousand, five hundred fifty-two".