252456 has 32 divisors (see below), whose sum is σ = 644640. Its totient is φ = 82368.

The previous prime is 252449. The next prime is 252457. The reversal of 252456 is 654252.

252456 is digitally balanced in base 2 and base 3, because in such bases 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).

It is not an unprimeable number, because it can be changed into a prime (252457) by changing a digit.

252456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (20145).

2²⁵²⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

252456 is an abundant number, since it is smaller than the sum of its proper divisors (392184).

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

252456 is a wasteful number, since it uses less digits than its factorization.

252456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 252456 is about 502.4499975122. The cubic root of 252456 is about 63.2016716964.

The spelling of 252456 in words is "two hundred fifty-two thousand, four hundred fifty-six".