456665 has 24 divisors (see below), whose sum is σ = 658368. Its totient is φ = 300960.

The previous prime is 456653. The next prime is 456679. The reversal of 456665 is 566654.

It is not a de Polignac number, because 456665 - 2⁴ = 456649 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19844 + ... + 19866.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁴⁵⁶⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

456665 is a deficient number, since it is larger than the sum of its proper divisors (201703).

456665 is a wasteful number, since it uses less digits than its factorization.

456665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 456665 is about 675.7699312636. The cubic root of 456665 is about 77.0074204352.

It can be divided in two parts, 45 and 6665, that multiplied together give a triangular number (299925 = T₇₇₄).

The spelling of 456665 in words is "four hundred fifty-six thousand, six hundred sixty-five".