556862400 has 126 divisors (see below), whose sum is σ = 1979271632. Its totient is φ = 148492800.

The previous prime is 556862399. The next prime is 556862413. The reversal of 556862400 is 4268655.

556862400 is a `hidden beast` number, since 556 + 8 + 62 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4936 + ... + 33735.

Almost surely, 2^556862400 is an apocalyptic number.

556862400 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 556862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989635816).

556862400 is an abundant number, since it is smaller than the sum of its proper divisors (1422409232).

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

556862400 is a wasteful number, since it uses less digits than its factorization.

556862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38699 (or 38681 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 556862400 is about 23597.9321127933. The cubic root of 556862400 is about 822.7147777844.

The spelling of 556862400 in words is "five hundred fifty-six million, eight hundred sixty-two thousand, four hundred".