456975601 has 2 divisors, whose sum is σ = 456975602. Its totient is φ = 456975600.

The previous prime is 456975551. The next prime is 456975653. The reversal of 456975601 is 106579654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399200400 + 57775201 = 19980^2 + 7601^2 .

It is a cyclic number.

It is not a de Polignac number, because 456975601 - 2⁹ = 456975089 is a prime.

It is a super-2 number, since 2×456975601² = 417653399818622402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (456972601) 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, 228487800 + 228487801.

It is an arithmetic number, because the mean of its divisors is an integer number (228487801).

Almost surely, 2^456975601 is an apocalyptic number.

It is an amenable number.

456975601 is a deficient number, since it is larger than the sum of its proper divisors (1).

456975601 is an equidigital number, since it uses as much as digits as its factorization.

456975601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 456975601 is about 21376.9876502748. The cubic root of 456975601 is about 770.2487536097.

The spelling of 456975601 in words is "four hundred fifty-six million, nine hundred seventy-five thousand, six hundred one".