459535968 has 36 divisors (see below), whose sum is σ = 1306806228. Its totient is φ = 153178560.

The previous prime is 459535931. The next prime is 459535991. The reversal of 459535968 is 869535954.

It is a happy number.

459535968 is a `hidden beast` number, since 45 + 9 + 5 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×459535968² = 422346611771394048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 797518 + ... + 798093.

It is an arithmetic number, because the mean of its divisors is an integer number (36300173).

Almost surely, 2^459535968 is an apocalyptic number.

459535968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

459535968 is an abundant number, since it is smaller than the sum of its proper divisors (847270260).

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

459535968 is a wasteful number, since it uses less digits than its factorization.

459535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595627 (or 1595616 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 459535968 is about 21436.7900582153. The cubic root of 459535968 is about 771.6846054314.

The spelling of 459535968 in words is "four hundred fifty-nine million, five hundred thirty-five thousand, nine hundred sixty-eight".