456352 has 24 divisors (see below), whose sum is σ = 968436. Its totient is φ = 210432.

The previous prime is 456349. The next prime is 456353. The reversal of 456352 is 253654.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 41616 = 644^2 + 204^2 .

It is not an unprimeable number, because it can be changed into a prime (456353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 964.

2⁴⁵⁶³⁵² is an apocalyptic number.

It is an amenable number.

456352 is an abundant number, since it is smaller than the sum of its proper divisors (512084).

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

456352 is a wasteful number, since it uses less digits than its factorization.

456352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1112 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 456352 is about 675.5383038733. The cubic root of 456352 is about 76.9898226837.

It can be divided in two parts, 456 and 352, that added together give a palindrome (808).

The spelling of 456352 in words is "four hundred fifty-six thousand, three hundred fifty-two".