456252 has 24 divisors (see below), whose sum is σ = 1075536. Its totient is φ = 150528.

The previous prime is 456241. The next prime is 456283. The reversal of 456252 is 252654.

It is a d-powerful number, because it can be written as 4² + 5 + 2⁶ + 6 + 5⁸ + 2¹⁶ .

It is a congruent number.

It is an unprimeable number.

456252 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, 2218 + ... + 2414.

It is an arithmetic number, because the mean of its divisors is an integer number (44814).

2⁴⁵⁶²⁵² is an apocalyptic number.

It is an amenable number.

456252 is an abundant number, since it is smaller than the sum of its proper divisors (619284).

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

456252 is a wasteful number, since it uses less digits than its factorization.

456252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

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

The square root of 456252 is about 675.4642847701. The cubic root of 456252 is about 76.9841987029.

The spelling of 456252 in words is "four hundred fifty-six thousand, two hundred fifty-two".