252824 has 48 divisors (see below), whose sum is σ = 592920. Its totient is φ = 99840.

The previous prime is 252823. The next prime is 252827. The reversal of 252824 is 428252.

It is a self number, because there is not a number n which added to its sum of digits gives 252824.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252824.

It is not an unprimeable number, because it can be changed into a prime (252823) 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 11 ways as a sum of consecutive naturals, for example, 14864 + ... + 14880.

2²⁵²⁸²⁴ 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 252824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296460).

252824 is an abundant number, since it is smaller than the sum of its proper divisors (340096).

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

252824 is a wasteful number, since it uses less digits than its factorization.

252824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 43 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 252824 is about 502.8160697512. The cubic root of 252824 is about 63.2323660528.

It can be divided in two parts, 2528 and 24, that added together give a palindrome (2552).

The spelling of 252824 in words is "two hundred fifty-two thousand, eight hundred twenty-four".