456712704 has 120 divisors (see below), whose sum is σ = 1506510720. Its totient is φ = 130480128.

The previous prime is 456712681. The next prime is 456712723. The reversal of 456712704 is 407217654.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25177 + ... + 39335.

It is an arithmetic number, because the mean of its divisors is an integer number (12554256).

Almost surely, 2^456712704 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 456712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753255360).

456712704 is an abundant number, since it is smaller than the sum of its proper divisors (1049798016).

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

456712704 is a wasteful number, since it uses less digits than its factorization.

456712704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14190 (or 14171 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 456712704 is about 21370.8377000061. The cubic root of 456712704 is about 770.1010178368.

It can be divided in two parts, 4567 and 12704, that added together give a palindrome (17271).

The spelling of 456712704 in words is "four hundred fifty-six million, seven hundred twelve thousand, seven hundred four".