456488706960 has 1920 divisors, whose sum is σ = 2021630607360. Its totient is φ = 90552729600.

The previous prime is 456488706959. The next prime is 456488706997. The reversal of 456488706960 is 69607884654.

456488706960 is a `hidden beast` number, since 4 + 564 + 8 + 8 + 7 + 0 + 6 + 9 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2550216151 + ... + 2550216329.

It is an arithmetic number, because the mean of its divisors is an integer number (1052932608).

Almost surely, 2^456488706960 is an apocalyptic number.

456488706960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456488706960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010815303680).

456488706960 is an abundant number, since it is smaller than the sum of its proper divisors (1565141900400).

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

456488706960 is a wasteful number, since it uses less digits than its factorization.

456488706960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 456488706960 in words is "four hundred fifty-six billion, four hundred eighty-eight million, seven hundred six thousand, nine hundred sixty".