556056400 has 60 divisors (see below), whose sum is σ = 1414526652. Its totient is φ = 209336320.

The previous prime is 556056377. The next prime is 556056401. The reversal of 556056400 is 4650655.

It can be written as a sum of positive squares in 6 ways, for example, as 14470416 + 541585984 = 3804^2 + 23272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556056401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34087 + ... + 47686.

Almost surely, 2^556056400 is an apocalyptic number.

556056400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556056400 is an abundant number, since it is smaller than the sum of its proper divisors (858470252).

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

556056400 is a wasteful number, since it uses less digits than its factorization.

556056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81808 (or 81797 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 556056400 is about 23580.8481611667. The cubic root of 556056400 is about 822.3176549674.

The spelling of 556056400 in words is "five hundred fifty-six million, fifty-six thousand, four hundred".