456528723 has 32 divisors (see below), whose sum is σ = 720371712. Its totient is φ = 251661600.

The previous prime is 456528707. The next prime is 456528731. The reversal of 456528723 is 327825654.

It is not a de Polignac number, because 456528723 - 2⁴ = 456528707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456528703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248418 + ... + 250248.

It is an arithmetic number, because the mean of its divisors is an integer number (22511616).

Almost surely, 2^456528723 is an apocalyptic number.

456528723 is a deficient number, since it is larger than the sum of its proper divisors (263842989).

456528723 is a wasteful number, since it uses less digits than its factorization.

456528723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255.

The product of its digits is 403200, while the sum is 42.

The square root of 456528723 is about 21366.5327790917. The cubic root of 456528723 is about 769.9975954274.

The spelling of 456528723 in words is "four hundred fifty-six million, five hundred twenty-eight thousand, seven hundred twenty-three".