556130400 has 216 divisors, whose sum is σ = 2106193320. Its totient is φ = 127088640.

The previous prime is 556130357. The next prime is 556130411. The reversal of 556130400 is 4031655.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115236 + ... + 119964.

It is an arithmetic number, because the mean of its divisors is an integer number (9750895).

Almost surely, 2^556130400 is an apocalyptic number.

556130400 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 556130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053096660).

556130400 is an abundant number, since it is smaller than the sum of its proper divisors (1550062920).

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

556130400 is a wasteful number, since it uses less digits than its factorization.

556130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 556130400 is about 23582.4171789068. The cubic root of 556130400 is about 822.3541313676.

The spelling of 556130400 in words is "five hundred fifty-six million, one hundred thirty thousand, four hundred".