252388800 has 252 divisors, whose sum is σ = 950738256. Its totient is φ = 63283200.

The previous prime is 252388793. The next prime is 252388811. The reversal of 252388800 is 8883252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244285 + ... + 245315.

Almost surely, 2^252388800 is an apocalyptic number.

252388800 is a gapful number since it is divisible by the number (20) 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 252388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475369128).

252388800 is an abundant number, since it is smaller than the sum of its proper divisors (698349456).

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

252388800 is a wasteful number, since it uses less digits than its factorization.

252388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 252388800 is about 15886.7491954773. The cubic root of 252388800 is about 631.9606341982.

The spelling of 252388800 in words is "two hundred fifty-two million, three hundred eighty-eight thousand, eight hundred".