4656456 has 48 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1330272.

The previous prime is 4656409. The next prime is 4656467. The reversal of 4656456 is 6546564.

It is a happy number.

4656456 is a `hidden beast` number, since 4 + 6 + 5 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4656456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4116 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^4656456 is an apocalyptic number.

It is an amenable number.

4656456 is an abundant number, since it is smaller than the sum of its proper divisors (9757944).

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

4656456 is a wasteful number, since it uses less digits than its factorization.

4656456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9251 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 4656456 is about 2157.8822952145. The cubic root of 4656456 is about 166.9879633238.

The spelling of 4656456 in words is "four million, six hundred fifty-six thousand, four hundred fifty-six".