456809 has 2 divisors, whose sum is σ = 456810. Its totient is φ = 456808.

The previous prime is 456791. The next prime is 456811. The reversal of 456809 is 908654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 120409 = 580^2 + 347^2 .

It is a cyclic number.

It is not a de Polignac number, because 456809 - 2⁸ = 456553 is a prime.

Together with 456811, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 9.

It is not a weakly prime, because it can be changed into another prime (456899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228404 + 228405.

It is an arithmetic number, because the mean of its divisors is an integer number (228405).

2⁴⁵⁶⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

456809 is a deficient number, since it is larger than the sum of its proper divisors (1).

456809 is an equidigital number, since it uses as much as digits as its factorization.

456809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 456809 is about 675.8764680028. The cubic root of 456809 is about 77.0155138247.

The spelling of 456809 in words is "four hundred fifty-six thousand, eight hundred nine".