456678656 has 72 divisors (see below), whose sum is σ = 1056371904. Its totient is φ = 192983040.

The previous prime is 456678647. The next prime is 456678683. The reversal of 456678656 is 656876654.

It is a junction number, because it is equal to n+sod(n) for n = 456678598 and 456678607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129071 + ... + 132561.

It is an arithmetic number, because the mean of its divisors is an integer number (14671832).

Almost surely, 2^456678656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528185952).

456678656 is an abundant number, since it is smaller than the sum of its proper divisors (599693248).

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

456678656 is an equidigital number, since it uses as much as digits as its factorization.

456678656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3573 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 53.

The square root of 456678656 is about 21370.0410855946. The cubic root of 456678656 is about 770.0818803128.

The spelling of 456678656 in words is "four hundred fifty-six million, six hundred seventy-eight thousand, six hundred fifty-six".