632256800 has 162 divisors, whose sum is σ = 1809745497. Its totient is φ = 215066880.

The previous prime is 632256797. The next prime is 632256839. The reversal of 632256800 is 8652236.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

632256800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 619611664 + 12645136 = 24892^2 + 3556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=17780.

It is a super-2 number, since 2×632256800² = 799497322292480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4978337 + ... + 4978463.

Almost surely, 2^632256800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632256800

632256800 is an abundant number, since it is smaller than the sum of its proper divisors (1177488697).

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

632256800 is a wasteful number, since it uses less digits than its factorization.

632256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 632256800 is about 25144.7171389936. The cubic root of 632256800 is about 858.2843025584.

Multiplying 632256800 by its sum of digits (32), we get a square (20232217600 = 142240²).

632256800 divided by its sum of digits (32) gives a square (19758025 = 4445²).

The spelling of 632256800 in words is "six hundred thirty-two million, two hundred fifty-six thousand, eight hundred".