456364801 has 2 divisors, whose sum is σ = 456364802. Its totient is φ = 456364800.

The previous prime is 456364759. The next prime is 456364807. The reversal of 456364801 is 108463654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 447364801 + 9000000 = 21151^2 + 3000^2 .

It is a cyclic number.

It is not a de Polignac number, because 456364801 - 2¹⁹ = 455840513 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (456364807) 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 as a sum of consecutive naturals, namely, 228182400 + 228182401.

It is an arithmetic number, because the mean of its divisors is an integer number (228182401).

Almost surely, 2^456364801 is an apocalyptic number.

It is an amenable number.

456364801 is a deficient number, since it is larger than the sum of its proper divisors (1).

456364801 is an equidigital number, since it uses as much as digits as its factorization.

456364801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 456364801 is about 21362.6964824200. The cubic root of 456364801 is about 769.9054255015.

The spelling of 456364801 in words is "four hundred fifty-six million, three hundred sixty-four thousand, eight hundred one".