456314799 has 16 divisors (see below), whose sum is σ = 653287680. Its totient is φ = 282280320.

The previous prime is 456314783. The next prime is 456314801. The reversal of 456314799 is 997413654.

It is not a de Polignac number, because 456314799 - 2⁴ = 456314783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456314759) 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, 59389 + ... + 66630.

It is an arithmetic number, because the mean of its divisors is an integer number (40830480).

Almost surely, 2^456314799 is an apocalyptic number.

456314799 is a deficient number, since it is larger than the sum of its proper divisors (196972881).

456314799 is a wasteful number, since it uses less digits than its factorization.

456314799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126110.

The product of its digits is 816480, while the sum is 48.

The square root of 456314799 is about 21361.5261393001. The cubic root of 456314799 is about 769.8773060255.

The spelling of 456314799 in words is "four hundred fifty-six million, three hundred fourteen thousand, seven hundred ninety-nine".