252460624 has 40 divisors (see below), whose sum is σ = 536731272. Its totient is φ = 114316800.

The previous prime is 252460603. The next prime is 252460679. The reversal of 252460624 is 426064252.

It can be written as a sum of positive squares in 4 ways, for example, as 89643024 + 162817600 = 9468^2 + 12760^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 427 + ... + 22474.

Almost surely, 2^252460624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252460624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268365636).

252460624 is an abundant number, since it is smaller than the sum of its proper divisors (284270648).

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

252460624 is a wasteful number, since it uses less digits than its factorization.

252460624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22975 (or 22969 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 252460624 is about 15889.0095348955. The cubic root of 252460624 is about 632.0205756267.

The spelling of 252460624 in words is "two hundred fifty-two million, four hundred sixty thousand, six hundred twenty-four".