459891 has 8 divisors (see below), whose sum is σ = 681360. Its totient is φ = 306576.

The previous prime is 459883. The next prime is 459913. The reversal of 459891 is 198954.

It is not a de Polignac number, because 459891 - 2³ = 459883 is a prime.

It is a super-2 number, since 2×459891² = 422999463762, which contains 22 as substring.

459891 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (459841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8490 + ... + 8543.

It is an arithmetic number, because the mean of its divisors is an integer number (85170).

2⁴⁵⁹⁸⁹¹ is an apocalyptic number.

459891 is a deficient number, since it is larger than the sum of its proper divisors (221469).

459891 is a wasteful number, since it uses less digits than its factorization.

459891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17042 (or 17036 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 459891 is about 678.1526376856. The cubic root of 459891 is about 77.1883285710.

It can be divided in two parts, 4 and 59891, that added together give a palindrome (59895).

The spelling of 459891 in words is "four hundred fifty-nine thousand, eight hundred ninety-one".