456708 has 24 divisors (see below), whose sum is σ = 1218112. Its totient is φ = 130464.

The previous prime is 456697. The next prime is 456727. The reversal of 456708 is 807654.

It is a happy number.

It is a d-powerful number, because it can be written as 4⁸ + 5⁷ + 7³ + 6⁷ + 0 + 8⁵ .

It is a nialpdrome in base 9.

It is an unprimeable number.

456708 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2635 + ... + 2802.

2⁴⁵⁶⁷⁰⁸ is an apocalyptic number.

It is an amenable number.

456708 is an abundant number, since it is smaller than the sum of its proper divisors (761404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456708 is a wasteful number, since it uses less digits than its factorization.

456708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 456708 is about 675.8017460765. The cubic root of 456708 is about 77.0098373893.

The spelling of 456708 in words is "four hundred fifty-six thousand, seven hundred eight".