456276701 has 2 divisors, whose sum is σ = 456276702. Its totient is φ = 456276700.

The previous prime is 456276679. The next prime is 456276707. The reversal of 456276701 is 107672654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285948100 + 170328601 = 16910^2 + 13051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456276701 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456276707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228138350 + 228138351.

It is an arithmetic number, because the mean of its divisors is an integer number (228138351).

Almost surely, 2^456276701 is an apocalyptic number.

It is an amenable number.

456276701 is a deficient number, since it is larger than the sum of its proper divisors (1).

456276701 is an equidigital number, since it uses as much as digits as its factorization.

456276701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 456276701 is about 21360.6343772838. The cubic root of 456276701 is about 769.8558795877.

The spelling of 456276701 in words is "four hundred fifty-six million, two hundred seventy-six thousand, seven hundred one".