456579 has 12 divisors (see below), whose sum is σ = 667576. Its totient is φ = 300672.

The previous prime is 456571. The next prime is 456581. The reversal of 456579 is 975654.

It is not a de Polignac number, because 456579 - 2³ = 456571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612 + ... + 1134.

2⁴⁵⁶⁵⁷⁹ is an apocalyptic number.

456579 is a deficient number, since it is larger than the sum of its proper divisors (210997).

456579 is a wasteful number, since it uses less digits than its factorization.

456579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 456579 is about 675.7062971440. The cubic root of 456579 is about 77.0025860716.

It can be divided in two parts, 456 and 579, that added together give a triangular number (1035 = T₄₅).

The spelling of 456579 in words is "four hundred fifty-six thousand, five hundred seventy-nine".