252456624 has 180 divisors, whose sum is σ = 844965264. Its totient is φ = 70108416.

The previous prime is 252456619. The next prime is 252456637. The reversal of 252456624 is 426654252.

252456624 is a `hidden beast` number, since 2 + 5 + 24 + 5 + 6 + 624 = 666.

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 35 ways as a sum of consecutive naturals, for example, 260589 + ... + 261555.

Almost surely, 2^252456624 is an apocalyptic number.

252456624 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 252456624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422482632).

252456624 is an abundant number, since it is smaller than the sum of its proper divisors (592508640).

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

252456624 is a wasteful number, since it uses less digits than its factorization.

252456624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1016 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 252456624 is about 15888.8836612268. The cubic root of 252456624 is about 632.0172376861.

The spelling of 252456624 in words is "two hundred fifty-two million, four hundred fifty-six thousand, six hundred twenty-four".