252624 has 40 divisors (see below), whose sum is σ = 689440. Its totient is φ = 79488.

The previous prime is 252617. The next prime is 252641. The reversal of 252624 is 426252.

252624 is nontrivially palindromic in base 13.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 252624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (17236).

2²⁵²⁶²⁴ is an apocalyptic number.

252624 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 252624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344720).

252624 is an abundant number, since it is smaller than the sum of its proper divisors (436816).

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

252624 is a wasteful number, since it uses less digits than its factorization.

252624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 252624 is about 502.6171505231. The cubic root of 252624 is about 63.2156880352.

Adding to 252624 its reverse (426252), we get a palindrome (678876).

The spelling of 252624 in words is "two hundred fifty-two thousand, six hundred twenty-four".