459116 has 24 divisors (see below), whose sum is σ = 967680. Its totient is φ = 186192.

The previous prime is 459113. The next prime is 459127. The reversal of 459116 is 611954.

It is not an unprimeable number, because it can be changed into a prime (459113) 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, 101 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁴⁵⁹¹¹⁶ 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 459116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

459116 is an abundant number, since it is smaller than the sum of its proper divisors (508564).

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

459116 is a wasteful number, since it uses less digits than its factorization.

459116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its digits is 1080, while the sum is 26.

The square root of 459116 is about 677.5809914689. The cubic root of 459116 is about 77.1449454004.

It can be divided in two parts, 459 and 116, that added together give a palindrome (575).

The spelling of 459116 in words is "four hundred fifty-nine thousand, one hundred sixteen".