556564800 has 336 divisors, whose sum is σ = 2031869952. Its totient is φ = 132249600.

The previous prime is 556564763. The next prime is 556564807. The reversal of 556564800 is 8465655.

It is a super-3 number, since 3×556564800³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556564807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4382337 + ... + 4382463.

It is an arithmetic number, because the mean of its divisors is an integer number (6047232).

Almost surely, 2^556564800 is an apocalyptic number.

556564800 is a gapful number since it is divisible by the number (50) 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 556564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015934976).

556564800 is an abundant number, since it is smaller than the sum of its proper divisors (1475305152).

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

556564800 is a wasteful number, since it uses less digits than its factorization.

556564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 556564800 is about 23591.6256328384. The cubic root of 556564800 is about 822.5681924719.

The spelling of 556564800 in words is "five hundred fifty-six million, five hundred sixty-four thousand, eight hundred".