252684230400 has 864 divisors, whose sum is σ = 1072423027200. Its totient is φ = 57734000640.

The previous prime is 252684230371. The next prime is 252684230431. The reversal of 252684230400 is 4032486252.

252684230400 is a `hidden beast` number, since 252 + 68 + 42 + 304 + 0 + 0 = 666.

252684230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97976311 + ... + 97978889.

Almost surely, 2^252684230400 is an apocalyptic number.

252684230400 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 252684230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536211513600).

252684230400 is an abundant number, since it is smaller than the sum of its proper divisors (819738796800).

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

252684230400 is an frugal number, since it uses more digits than its factorization.

252684230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 252684230400 in words is "two hundred fifty-two billion, six hundred eighty-four million, two hundred thirty thousand, four hundred".