456940801 has 2 divisors, whose sum is σ = 456940802. Its totient is φ = 456940800.

The previous prime is 456940763. The next prime is 456940811. The reversal of 456940801 is 108049654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456890625 + 50176 = 21375^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 456940801 - 2¹⁵ = 456908033 is a prime.

It is not a weakly prime, because it can be changed into another prime (456940811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228470400 + 228470401.

It is an arithmetic number, because the mean of its divisors is an integer number (228470401).

Almost surely, 2^456940801 is an apocalyptic number.

It is an amenable number.

456940801 is a deficient number, since it is larger than the sum of its proper divisors (1).

456940801 is an equidigital number, since it uses as much as digits as its factorization.

456940801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 456940801 is about 21376.1736753798. The cubic root of 456940801 is about 770.2292008976.

The spelling of 456940801 in words is "four hundred fifty-six million, nine hundred forty thousand, eight hundred one".