252758624 has 48 divisors (see below), whose sum is σ = 522216576. Its totient is φ = 120268800.

The previous prime is 252758609. The next prime is 252758629. The reversal of 252758624 is 426857252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252758629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58424 + ... + 62600.

It is an arithmetic number, because the mean of its divisors is an integer number (10879512).

Almost surely, 2^252758624 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 252758624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261108288).

252758624 is an abundant number, since it is smaller than the sum of its proper divisors (269457952).

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

252758624 is a wasteful number, since it uses less digits than its factorization.

252758624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4271 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 252758624 is about 15898.3843204270. The cubic root of 252758624 is about 632.2691531037.

The spelling of 252758624 in words is "two hundred fifty-two million, seven hundred fifty-eight thousand, six hundred twenty-four".