456072641 has 2 divisors, whose sum is σ = 456072642. Its totient is φ = 456072640.

The previous prime is 456072629. The next prime is 456072697. The reversal of 456072641 is 146270654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 448804225 + 7268416 = 21185^2 + 2696^2 .

It is a cyclic number.

It is not a de Polignac number, because 456072641 - 2¹⁸ = 455810497 is a prime.

It is not a weakly prime, because it can be changed into another prime (456072541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228036320 + 228036321.

It is an arithmetic number, because the mean of its divisors is an integer number (228036321).

Almost surely, 2^456072641 is an apocalyptic number.

It is an amenable number.

456072641 is a deficient number, since it is larger than the sum of its proper divisors (1).

456072641 is an equidigital number, since it uses as much as digits as its factorization.

456072641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 456072641 is about 21355.8572995794. The cubic root of 456072641 is about 769.7410952798.

The spelling of 456072641 in words is "four hundred fifty-six million, seventy-two thousand, six hundred forty-one".