455642568 has 96 divisors (see below), whose sum is σ = 1342069560. Its totient is φ = 139069440.

The previous prime is 455642507. The next prime is 455642569. The reversal of 455642568 is 865246554.

455642568 is a `hidden beast` number, since 4 + 5 + 564 + 25 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 455480964 + 161604 = 21342^2 + 402^2 .

It is a super-2 number, since 2×455642568² = 415220299547269248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (455642569) 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 23 ways as a sum of consecutive naturals, for example, 40258 + ... + 50318.

Almost surely, 2^455642568 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 455642568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671034780).

455642568 is an abundant number, since it is smaller than the sum of its proper divisors (886426992).

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

455642568 is a wasteful number, since it uses less digits than its factorization.

455642568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10120 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 455642568 is about 21345.7857199027. The cubic root of 455642568 is about 769.4990658716.

The spelling of 455642568 in words is "four hundred fifty-five million, six hundred forty-two thousand, five hundred sixty-eight".