456668593 has 2 divisors, whose sum is σ = 456668594. Its totient is φ = 456668592.

The previous prime is 456668587. The next prime is 456668599. The reversal of 456668593 is 395866654.

It is a balanced prime because it is at equal distance from previous prime (456668587) and next prime (456668599).

It can be written as a sum of positive squares in only one way, i.e., 345513744 + 111154849 = 18588^2 + 10543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456668593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456668593.

It is not a weakly prime, because it can be changed into another prime (456668599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228334296 + 228334297.

It is an arithmetic number, because the mean of its divisors is an integer number (228334297).

Almost surely, 2^456668593 is an apocalyptic number.

It is an amenable number.

456668593 is a deficient number, since it is larger than the sum of its proper divisors (1).

456668593 is an equidigital number, since it uses as much as digits as its factorization.

456668593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4665600, while the sum is 52.

The square root of 456668593 is about 21369.8056378620. The cubic root of 456668593 is about 770.0762239716.

The spelling of 456668593 in words is "four hundred fifty-six million, six hundred sixty-eight thousand, five hundred ninety-three".