456712713 has 24 divisors (see below), whose sum is σ = 674074440. Its totient is φ = 297872640.

The previous prime is 456712681. The next prime is 456712723. The reversal of 456712713 is 317217654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 247968009 + 208744704 = 15747^2 + 14448^2 .

It is not a de Polignac number, because 456712713 - 2⁵ = 456712681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456712723) by changing a digit.

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, 193923 + ... + 196263.

It is an arithmetic number, because the mean of its divisors is an integer number (28086435).

Almost surely, 2^456712713 is an apocalyptic number.

It is an amenable number.

456712713 is a deficient number, since it is larger than the sum of its proper divisors (217361727).

456712713 is a wasteful number, since it uses less digits than its factorization.

456712713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2806 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 456712713 is about 21370.8379105734. The cubic root of 456712713 is about 770.1010228954.

It can be divided in two parts, 45671 and 2713, that added together give a palindrome (48384).

The spelling of 456712713 in words is "four hundred fifty-six million, seven hundred twelve thousand, seven hundred thirteen".