456852 has 24 divisors (see below), whose sum is σ = 1163232. Its totient is φ = 138400.

The previous prime is 456821. The next prime is 456871. The reversal of 456852 is 258654.

456852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

456852 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, 1599 + ... + 1862.

It is an arithmetic number, because the mean of its divisors is an integer number (48468).

2⁴⁵⁶⁸⁵² is an apocalyptic number.

It is an amenable number.

456852 is an abundant number, since it is smaller than the sum of its proper divisors (706380).

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

456852 is a wasteful number, since it uses less digits than its factorization.

456852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3477 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 456852 is about 675.9082778011. The cubic root of 456852 is about 77.0179302709.

The spelling of 456852 in words is "four hundred fifty-six thousand, eight hundred fifty-two".