456605 has 16 divisors (see below), whose sum is σ = 587520. Its totient is φ = 340032.

The previous prime is 456587. The next prime is 456607. The reversal of 456605 is 506654.

It is a cyclic number.

It is not a de Polignac number, because 456605 - 2⁸ = 456349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6782 + ... + 6848.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁴⁵⁶⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

456605 is a deficient number, since it is larger than the sum of its proper divisors (130915).

456605 is a wasteful number, since it uses less digits than its factorization.

456605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 456605 is about 675.7255359982. The cubic root of 456605 is about 77.0040476874.

The spelling of 456605 in words is "four hundred fifty-six thousand, six hundred five".