456945 has 16 divisors (see below), whose sum is σ = 749952. Its totient is φ = 237440.

The previous prime is 456923. The next prime is 456949. The reversal of 456945 is 549654.

It is not a de Polignac number, because 456945 - 2⁶ = 456881 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (456949) 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, 244 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁴⁵⁶⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

456945 is a deficient number, since it is larger than the sum of its proper divisors (293007).

456945 is a wasteful number, since it uses less digits than its factorization.

456945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792.

The product of its digits is 21600, while the sum is 33.

The square root of 456945 is about 675.9770706170. The cubic root of 456945 is about 77.0231560199.

The spelling of 456945 in words is "four hundred fifty-six thousand, nine hundred forty-five".