456002668 has 24 divisors (see below), whose sum is σ = 871383744. Its totient is φ = 207075600.

The previous prime is 456002629. The next prime is 456002671. The reversal of 456002668 is 866200654.

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, 47863 + ... + 56593.

It is an arithmetic number, because the mean of its divisors is an integer number (36307656).

Almost surely, 2^456002668 is an apocalyptic number.

It is an amenable number.

456002668 is a deficient number, since it is larger than the sum of its proper divisors (415381076).

456002668 is a wasteful number, since it uses less digits than its factorization.

456002668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 456002668 is about 21354.2189742449. The cubic root of 456002668 is about 769.7017273929.

The spelling of 456002668 in words is "four hundred fifty-six million, two thousand, six hundred sixty-eight".