456668940 has 96 divisors (see below), whose sum is σ = 1573770240. Its totient is φ = 96350976.

The previous prime is 456668939. The next prime is 456668951. The reversal of 456668940 is 49866654.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 456668940.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36360 + ... + 47279.

It is an arithmetic number, because the mean of its divisors is an integer number (16393440).

Almost surely, 2^456668940 is an apocalyptic number.

It is an amenable number.

456668940 is an abundant number, since it is smaller than the sum of its proper divisors (1117101300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456668940 is a wasteful number, since it uses less digits than its factorization.

456668940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83671 (or 83669 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 456668940 is about 21369.8137567925. The cubic root of 456668940 is about 770.0764190192.

The spelling of 456668940 in words is "four hundred fifty-six million, six hundred sixty-eight thousand, nine hundred forty".