456675 has 12 divisors (see below), whose sum is σ = 755160. Its totient is φ = 243520.

The previous prime is 456653. The next prime is 456679. The reversal of 456675 is 576654.

It is not a de Polignac number, because 456675 - 2⁶ = 456611 is a prime.

456675 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (456679) 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, 2970 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (62930).

2⁴⁵⁶⁶⁷⁵ is an apocalyptic number.

456675 is a deficient number, since it is larger than the sum of its proper divisors (298485).

456675 is a wasteful number, since it uses less digits than its factorization.

456675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6097 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 456675 is about 675.7773301909. Note that the first 3 decimals coincide. The cubic root of 456675 is about 77.0079825311.

The spelling of 456675 in words is "four hundred fifty-six thousand, six hundred seventy-five".