456364799 has 16 divisors (see below), whose sum is σ = 503193600. Its totient is φ = 410451360.

The previous prime is 456364759. The next prime is 456364801. The reversal of 456364799 is 997463654.

It is not a de Polignac number, because 456364799 - 2⁸ = 456364543 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456364799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456364739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627374 + ... + 628100.

It is an arithmetic number, because the mean of its divisors is an integer number (31449600).

Almost surely, 2^456364799 is an apocalyptic number.

456364799 is a deficient number, since it is larger than the sum of its proper divisors (46828801).

456364799 is a wasteful number, since it uses less digits than its factorization.

456364799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270.

The product of its digits is 4898880, while the sum is 53.

The square root of 456364799 is about 21362.6964356094. The cubic root of 456364799 is about 769.9054243768.

The spelling of 456364799 in words is "four hundred fifty-six million, three hundred sixty-four thousand, seven hundred ninety-nine".