252744 has 16 divisors (see below), whose sum is σ = 631920. Its totient is φ = 84240.

The previous prime is 252737. The next prime is 252761. The reversal of 252744 is 447252.

252744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10531 = 252744 / (2 + 5 + 2 + 7 + 4 + 4).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252744.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5242 + ... + 5289.

It is an arithmetic number, because the mean of its divisors is an integer number (39495).

2²⁵²⁷⁴⁴ is an apocalyptic number.

252744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252744 is an abundant number, since it is smaller than the sum of its proper divisors (379176).

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

252744 is a wasteful number, since it uses less digits than its factorization.

252744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540 (or 10536 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 252744 is about 502.7365115048. The cubic root of 252744 is about 63.2256959016.

Adding to 252744 its reverse (447252), we get a palindrome (699996).

The spelling of 252744 in words is "two hundred fifty-two thousand, seven hundred forty-four".