456312 has 16 divisors (see below), whose sum is σ = 1140840. Its totient is φ = 152096.

The previous prime is 456293. The next prime is 456329. The reversal of 456312 is 213654.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456312.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9483 + ... + 9530.

2⁴⁵⁶³¹² is an apocalyptic number.

It is an amenable number.

456312 is an abundant number, since it is smaller than the sum of its proper divisors (684528).

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

456312 is a wasteful number, since it uses less digits than its factorization.

456312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19022 (or 19018 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 456312 is about 675.5086972053. The cubic root of 456312 is about 76.9875731899.

Adding to 456312 its reverse (213654), we get a palindrome (669966).

It can be divided in two parts, 4563 and 12, that multiplied together give a square (54756 = 234²).

The spelling of 456312 in words is "four hundred fifty-six thousand, three hundred twelve".