456009977 has 2 divisors, whose sum is σ = 456009978. Its totient is φ = 456009976.

The previous prime is 456009947. The next prime is 456009991. The reversal of 456009977 is 779900654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 325044841 + 130965136 = 18029^2 + 11444^2 .

It is a cyclic number.

It is not a de Polignac number, because 456009977 - 2²⁰ = 454961401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (456009947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228004988 + 228004989.

It is an arithmetic number, because the mean of its divisors is an integer number (228004989).

Almost surely, 2^456009977 is an apocalyptic number.

It is an amenable number.

456009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

456009977 is an equidigital number, since it uses as much as digits as its factorization.

456009977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 456009977 is about 21354.3901107009. The cubic root of 456009977 is about 769.7058397372.

The spelling of 456009977 in words is "four hundred fifty-six million, nine thousand, nine hundred seventy-seven".