459642568 has 64 divisors (see below), whose sum is σ = 1092787200. Its totient is φ = 176032320.

The previous prime is 459642499. The next prime is 459642577. The reversal of 459642568 is 865246954.

It is a super-2 number, since 2×459642568² = 422542580635269248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30021 + ... + 42667.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^459642568 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 459642568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

459642568 is an abundant number, since it is smaller than the sum of its proper divisors (633144632).

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

459642568 is a wasteful number, since it uses less digits than its factorization.

459642568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12726 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The square root of 459642568 is about 21439.2762937558. The cubic root of 459642568 is about 771.7442708509.

The spelling of 459642568 in words is "four hundred fifty-nine million, six hundred forty-two thousand, five hundred sixty-eight".