456165476 has 36 divisors (see below), whose sum is σ = 894266100. Its totient is φ = 203269248.

The previous prime is 456165421. The next prime is 456165487. The reversal of 456165476 is 674561654.

It can be written as a sum of positive squares in 6 ways, for example, as 77862976 + 378302500 = 8824^2 + 19450^2 .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 7970 + ... + 31238.

It is an arithmetic number, because the mean of its divisors is an integer number (24840725).

Almost surely, 2^456165476 is an apocalyptic number.

It is an amenable number.

456165476 is a deficient number, since it is larger than the sum of its proper divisors (438100624).

456165476 is a wasteful number, since it uses less digits than its factorization.

456165476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23328 (or 23313 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 456165476 is about 21358.0307144643. The cubic root of 456165476 is about 769.7933194653.

The spelling of 456165476 in words is "four hundred fifty-six million, one hundred sixty-five thousand, four hundred seventy-six".