556388352 has 312 divisors, whose sum is σ = 1836618784. Its totient is φ = 167215104.

The previous prime is 556388323. The next prime is 556388369. The reversal of 556388352 is 253883655.

556388352 is a `hidden beast` number, since 5 + 5 + 638 + 8 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a junction number, because it is equal to n+sod(n) for n = 556388298 and 556388307.

It is a congruent number.

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, 12939243 + ... + 12939285.

Almost surely, 2^556388352 is an apocalyptic number.

556388352 is a gapful number since it is divisible by the number (52) 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 556388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918309392).

556388352 is an abundant number, since it is smaller than the sum of its proper divisors (1280230432).

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

556388352 is an equidigital number, since it uses as much as digits as its factorization.

556388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 556388352 is about 23587.8857043186. The cubic root of 556388352 is about 822.4812568907.

The spelling of 556388352 in words is "five hundred fifty-six million, three hundred eighty-eight thousand, three hundred fifty-two".