459882 has 24 divisors (see below), whose sum is σ = 1031940. Its totient is φ = 147840.

The previous prime is 459847. The next prime is 459883. The reversal of 459882 is 288954.

459882 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 447561 + 12321 = 669^2 + 111^2 .

It is a super-3 number, since 3×459882³ = 291783338440430904, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (459883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 962.

2⁴⁵⁹⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515970).

459882 is an abundant number, since it is smaller than the sum of its proper divisors (572058).

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

459882 is a wasteful number, since it uses less digits than its factorization.

459882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 915 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 459882 is about 678.1460019789. The cubic root of 459882 is about 77.1878250463.

The spelling of 459882 in words is "four hundred fifty-nine thousand, eight hundred eighty-two".