456564905 has 8 divisors (see below), whose sum is σ = 549432072. Its totient is φ = 364215808.

The previous prime is 456564887. The next prime is 456564929. The reversal of 456564905 is 509465654.

It can be written as a sum of positive squares in 4 ways, for example, as 78340201 + 378224704 = 8851^2 + 19448^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456564905 - 2¹⁰ = 456563881 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127574 + ... + 131103.

It is an arithmetic number, because the mean of its divisors is an integer number (68679009).

Almost surely, 2^456564905 is an apocalyptic number.

It is an amenable number.

456564905 is a deficient number, since it is larger than the sum of its proper divisors (92867167).

456564905 is a wasteful number, since it uses less digits than its factorization.

456564905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259035.

The product of its (nonzero) digits is 648000, while the sum is 44.

The square root of 456564905 is about 21367.3794602895. The cubic root of 456564905 is about 770.0179368397.

The spelling of 456564905 in words is "four hundred fifty-six million, five hundred sixty-four thousand, nine hundred five".