456764 has 24 divisors (see below), whose sum is σ = 997248. Its totient is φ = 177840.

The previous prime is 456763. The next prime is 456767. The reversal of 456764 is 467654.

It is a self number, because there is not a number n which added to its sum of digits gives 456764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (41552).

2⁴⁵⁶⁷⁶⁴ is an apocalyptic number.

456764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

456764 is an abundant number, since it is smaller than the sum of its proper divisors (540484).

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

456764 is a wasteful number, since it uses less digits than its factorization.

456764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1503 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 456764 is about 675.8431770759. The cubic root of 456764 is about 77.0129848232.

The spelling of 456764 in words is "four hundred fifty-six thousand, seven hundred sixty-four".