455752968 has 64 divisors (see below), whose sum is σ = 1252134720. Its totient is φ = 137088000.

The previous prime is 455752967. The next prime is 455752991. The reversal of 455752968 is 869257554.

It is a self number, because there is not a number n which added to its sum of digits gives 455752968.

It is not an unprimeable number, because it can be changed into a prime (455752967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29868 + ... + 42468.

It is an arithmetic number, because the mean of its divisors is an integer number (19564605).

Almost surely, 2^455752968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455752968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626067360).

455752968 is an abundant number, since it is smaller than the sum of its proper divisors (796381752).

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

455752968 is a wasteful number, since it uses less digits than its factorization.

455752968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12758 (or 12754 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 51.

The square root of 455752968 is about 21348.3715538211. The cubic root of 455752968 is about 769.5612094922.

The spelling of 455752968 in words is "four hundred fifty-five million, seven hundred fifty-two thousand, nine hundred sixty-eight".