556864800 has 144 divisors (see below), whose sum is σ = 1861880832. Its totient is φ = 144460800.

The previous prime is 556864793. The next prime is 556864807. The reversal of 556864800 is 8468655.

It is an interprime number because it is at equal distance from previous prime (556864793) and next prime (556864807).

It is not an unprimeable number, because it can be changed into a prime (556864807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85665 + ... + 91935.

It is an arithmetic number, because the mean of its divisors is an integer number (12929728).

Almost surely, 2^556864800 is an apocalyptic number.

556864800 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 556864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930940416).

556864800 is an abundant number, since it is smaller than the sum of its proper divisors (1305016032).

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

556864800 is a wasteful number, since it uses less digits than its factorization.

556864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 556864800 is about 23597.9829646519. The cubic root of 556864800 is about 822.7159597117.

The spelling of 556864800 in words is "five hundred fifty-six million, eight hundred sixty-four thousand, eight hundred".