556877400 has 96 divisors (see below), whose sum is σ = 1755691200. Its totient is φ = 145974400.

The previous prime is 556877371. The next prime is 556877467. The reversal of 556877400 is 4778655.

It is a super-2 number, since 2×556877400² = 620224877261520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27535 + ... + 43265.

It is an arithmetic number, because the mean of its divisors is an integer number (18288450).

Almost surely, 2^556877400 is an apocalyptic number.

556877400 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 556877400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877845600).

556877400 is an abundant number, since it is smaller than the sum of its proper divisors (1198813800).

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

556877400 is a wasteful number, since it uses less digits than its factorization.

556877400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15809 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 556877400 is about 23598.2499351117. The cubic root of 556877400 is about 822.7221647744.

The spelling of 556877400 in words is "five hundred fifty-six million, eight hundred seventy-seven thousand, four hundred".