456573961 has 2 divisors, whose sum is σ = 456573962. Its totient is φ = 456573960.

The previous prime is 456573911. The next prime is 456573977. The reversal of 456573961 is 169375654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 325585936 + 130988025 = 18044^2 + 11445^2 .

It is a cyclic number.

It is not a de Polignac number, because 456573961 - 2¹⁵ = 456541193 is a prime.

It is not a weakly prime, because it can be changed into another prime (456573911) 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, 228286980 + 228286981.

It is an arithmetic number, because the mean of its divisors is an integer number (228286981).

Almost surely, 2^456573961 is an apocalyptic number.

It is an amenable number.

456573961 is a deficient number, since it is larger than the sum of its proper divisors (1).

456573961 is an equidigital number, since it uses as much as digits as its factorization.

456573961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 680400, while the sum is 46.

The square root of 456573961 is about 21367.5913710460. The cubic root of 456573961 is about 770.0230279277.

The spelling of 456573961 in words is "four hundred fifty-six million, five hundred seventy-three thousand, nine hundred sixty-one".