556970304 has 224 divisors, whose sum is σ = 1704148992. Its totient is φ = 158976000.

The previous prime is 556970291. The next prime is 556970329. The reversal of 556970304 is 403079655.

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, 3077094 + ... + 3077274.

It is an arithmetic number, because the mean of its divisors is an integer number (7607808).

Almost surely, 2^556970304 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 556970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852074496).

556970304 is an abundant number, since it is smaller than the sum of its proper divisors (1147178688).

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

556970304 is a wasteful number, since it uses less digits than its factorization.

556970304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 556970304 is about 23600.2183040751. The cubic root of 556970304 is about 822.7679138805.

The spelling of 556970304 in words is "five hundred fifty-six million, nine hundred seventy thousand, three hundred four".