556416800 has 144 divisors (see below), whose sum is σ = 1452844512. Its totient is φ = 207360000.

The previous prime is 556416793. The next prime is 556416827. The reversal of 556416800 is 8614655.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2216675 + ... + 2216925.

It is an arithmetic number, because the mean of its divisors is an integer number (10089198).

Almost surely, 2^556416800 is an apocalyptic number.

556416800 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 556416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726422256).

556416800 is an abundant number, since it is smaller than the sum of its proper divisors (896427712).

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

556416800 is a wasteful number, since it uses less digits than its factorization.

556416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 556416800 is about 23588.4887180167. The cubic root of 556416800 is about 822.4952744068.

The spelling of 556416800 in words is "five hundred fifty-six million, four hundred sixteen thousand, eight hundred".