456466716 has 72 divisors (see below), whose sum is σ = 1235270400. Its totient is φ = 141691680.

The previous prime is 456466693. The next prime is 456466727. The reversal of 456466716 is 617664654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34701 + ... + 46011.

Almost surely, 2^456466716 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 456466716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617635200).

456466716 is an abundant number, since it is smaller than the sum of its proper divisors (778803684).

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

456466716 is a wasteful number, since it uses less digits than its factorization.

456466716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399 (or 11394 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 456466716 is about 21365.0816988843. The cubic root of 456466716 is about 769.9627327778.

The spelling of 456466716 in words is "four hundred fifty-six million, four hundred sixty-six thousand, seven hundred sixteen".