456508889 has 2 divisors, whose sum is σ = 456508890. Its totient is φ = 456508888.

The previous prime is 456508879. The next prime is 456508903. The reversal of 456508889 is 988805654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 438190489 + 18318400 = 20933^2 + 4280^2 .

It is a cyclic number.

It is not a de Polignac number, because 456508889 - 2⁴ = 456508873 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456508889.

It is not a weakly prime, because it can be changed into another prime (456508879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228254444 + 228254445.

It is an arithmetic number, because the mean of its divisors is an integer number (228254445).

Almost surely, 2^456508889 is an apocalyptic number.

It is an amenable number.

456508889 is a deficient number, since it is larger than the sum of its proper divisors (1).

456508889 is an equidigital number, since it uses as much as digits as its factorization.

456508889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2764800, while the sum is 53.

The square root of 456508889 is about 21366.0686369767. The cubic root of 456508889 is about 769.9864443557.

The spelling of 456508889 in words is "four hundred fifty-six million, five hundred eight thousand, eight hundred eighty-nine".