252676800 has 168 divisors, whose sum is σ = 921258000. Its totient is φ = 67368960.

The previous prime is 252676799. The next prime is 252676829. The reversal of 252676800 is 8676252.

252676800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40276 + ... + 46124.

Almost surely, 2^252676800 is an apocalyptic number.

252676800 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 252676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460629000).

252676800 is an abundant number, since it is smaller than the sum of its proper divisors (668581200).

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

252676800 is a wasteful number, since it uses less digits than its factorization.

252676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 252676800 is about 15895.8107688787. The cubic root of 252676800 is about 632.2009188677.

The spelling of 252676800 in words is "two hundred fifty-two million, six hundred seventy-six thousand, eight hundred".