456808345 has 32 divisors (see below), whose sum is σ = 643765248. Its totient is φ = 304717248.

The previous prime is 456808337. The next prime is 456808351. The reversal of 456808345 is 543808654.

It is a cyclic number.

It is not a de Polignac number, because 456808345 - 2³ = 456808337 is a prime.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 193462 + ... + 195808.

It is an arithmetic number, because the mean of its divisors is an integer number (20117664).

Almost surely, 2^456808345 is an apocalyptic number.

It is an amenable number.

456808345 is a deficient number, since it is larger than the sum of its proper divisors (186956903).

456808345 is a wasteful number, since it uses less digits than its factorization.

456808345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509.

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 456808345 is about 21373.0752349773. The cubic root of 456808345 is about 770.1547701484.

The spelling of 456808345 in words is "four hundred fifty-six million, eight hundred eight thousand, three hundred forty-five".