459872 has 24 divisors (see below), whose sum is σ = 1035216. Its totient is φ = 196992.

The previous prime is 459847. The next prime is 459883. The reversal of 459872 is 278954.

It is a happy number.

It is a super-2 number, since 2×459872² = 422964512768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

459872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 803 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (43134).

2⁴⁵⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

459872 is an abundant number, since it is smaller than the sum of its proper divisors (575344).

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

459872 is a wasteful number, since it uses less digits than its factorization.

459872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2062 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 459872 is about 678.1386288953. The cubic root of 459872 is about 77.1872655667.

It can be divided in two parts, 459 and 872, that added together give a palindrome (1331).

The spelling of 459872 in words is "four hundred fifty-nine thousand, eight hundred seventy-two".