252906624 has 192 divisors, whose sum is σ = 775232640. Its totient is φ = 82031616.

The previous prime is 252906623. The next prime is 252906631. The reversal of 252906624 is 426609252.

252906624 is a `hidden beast` number, since 2 + 5 + 29 + 0 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252906623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461802 + ... + 1461974.

It is an arithmetic number, because the mean of its divisors is an integer number (4037670).

Almost surely, 2^252906624 is an apocalyptic number.

252906624 is a gapful number since it is divisible by the number (24) 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 252906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387616320).

252906624 is an abundant number, since it is smaller than the sum of its proper divisors (522326016).

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

252906624 is an equidigital number, since it uses as much as digits as its factorization.

252906624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 252906624 is about 15903.0382002937. The cubic root of 252906624 is about 632.3925350811.

The spelling of 252906624 in words is "two hundred fifty-two million, nine hundred six thousand, six hundred twenty-four".