456434401 has 2 divisors, whose sum is σ = 456434402. Its totient is φ = 456434400.

The previous prime is 456434389. The next prime is 456434413. The reversal of 456434401 is 104434654.

It is a balanced prime because it is at equal distance from previous prime (456434389) and next prime (456434413).

It can be written as a sum of positive squares in only one way, i.e., 356454400 + 99980001 = 18880^2 + 9999^2 .

It is a cyclic number.

It is not a de Polignac number, because 456434401 - 2⁹ = 456433889 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (456434491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228217200 + 228217201.

It is an arithmetic number, because the mean of its divisors is an integer number (228217201).

Almost surely, 2^456434401 is an apocalyptic number.

It is an amenable number.

456434401 is a deficient number, since it is larger than the sum of its proper divisors (1).

456434401 is an equidigital number, since it uses as much as digits as its factorization.

456434401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 456434401 is about 21364.3254281524. The cubic root of 456434401 is about 769.9445628273.

The spelling of 456434401 in words is "four hundred fifty-six million, four hundred thirty-four thousand, four hundred one".