456416977 has 2 divisors, whose sum is σ = 456416978. Its totient is φ = 456416976.

The previous prime is 456416971. The next prime is 456417029. The reversal of 456416977 is 779614654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312440976 + 143976001 = 17676^2 + 11999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456416977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456416977.

It is not a weakly prime, because it can be changed into another prime (456416971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228208488 + 228208489.

It is an arithmetic number, because the mean of its divisors is an integer number (228208489).

Almost surely, 2^456416977 is an apocalyptic number.

It is an amenable number.

456416977 is a deficient number, since it is larger than the sum of its proper divisors (1).

456416977 is an equidigital number, since it uses as much as digits as its factorization.

456416977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1270080, while the sum is 49.

The square root of 456416977 is about 21363.9176416686. The cubic root of 456416977 is about 769.9347653736.

The spelling of 456416977 in words is "four hundred fifty-six million, four hundred sixteen thousand, nine hundred seventy-seven".