456401353 has 2 divisors, whose sum is σ = 456401354. Its totient is φ = 456401352.

The previous prime is 456401321. The next prime is 456401359. The reversal of 456401353 is 353104654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394101904 + 62299449 = 19852^2 + 7893^2 .

It is a cyclic number.

It is not a de Polignac number, because 456401353 - 2⁵ = 456401321 is a prime.

It is not a weakly prime, because it can be changed into another prime (456401359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228200676 + 228200677.

It is an arithmetic number, because the mean of its divisors is an integer number (228200677).

Almost surely, 2^456401353 is an apocalyptic number.

It is an amenable number.

456401353 is a deficient number, since it is larger than the sum of its proper divisors (1).

456401353 is an equidigital number, since it uses as much as digits as its factorization.

456401353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 456401353 is about 21363.5519752685. The cubic root of 456401353 is about 769.9259798414.

The spelling of 456401353 in words is "four hundred fifty-six million, four hundred one thousand, three hundred fifty-three".