456480882 has 96 divisors (see below), whose sum is σ = 1173332160. Its totient is φ = 126437760.

The previous prime is 456480863. The next prime is 456480907. The reversal of 456480882 is 288084654.

456480882 is a `hidden beast` number, since 4 + 564 + 8 + 0 + 8 + 82 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279753 + ... + 281379.

It is an arithmetic number, because the mean of its divisors is an integer number (12222210).

Almost surely, 2^456480882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456480882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586666080).

456480882 is an abundant number, since it is smaller than the sum of its proper divisors (716851278).

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

456480882 is a wasteful number, since it uses less digits than its factorization.

456480882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 456480882 is about 21365.4132185643. The cubic root of 456480882 is about 769.9706977099.

The spelling of 456480882 in words is "four hundred fifty-six million, four hundred eighty thousand, eight hundred eighty-two".