456952 has 8 divisors (see below), whose sum is σ = 856800. Its totient is φ = 228472.

The previous prime is 456949. The next prime is 456959. The reversal of 456952 is 259654.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28552 + ... + 28567.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

2⁴⁵⁶⁹⁵² is an apocalyptic number.

It is an amenable number.

456952 is a deficient number, since it is larger than the sum of its proper divisors (399848).

456952 is a wasteful number, since it uses less digits than its factorization.

456952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57125 (or 57121 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 456952 is about 675.9822482876. The cubic root of 456952 is about 77.0235493271.

The spelling of 456952 in words is "four hundred fifty-six thousand, nine hundred fifty-two".