456489960 has 32 divisors (see below), whose sum is σ = 1369470240. Its totient is φ = 121730624.

The previous prime is 456489949. The next prime is 456489983. The reversal of 456489960 is 69984654.

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, 1901922 + ... + 1902161.

It is an arithmetic number, because the mean of its divisors is an integer number (42795945).

Almost surely, 2^456489960 is an apocalyptic number.

456489960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456489960 is an abundant number, since it is smaller than the sum of its proper divisors (912980280).

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

456489960 is a wasteful number, since it uses less digits than its factorization.

456489960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804097 (or 3804093 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 456489960 is about 21365.6256636683. The cubic root of 456489960 is about 769.9758017920.

The spelling of 456489960 in words is "four hundred fifty-six million, four hundred eighty-nine thousand, nine hundred sixty".