459432 has 40 divisors (see below), whose sum is σ = 1288650. Its totient is φ = 152928.

The previous prime is 459427. The next prime is 459443. The reversal of 459432 is 234954.

It can be written as a sum of positive squares in only one way, i.e., 443556 + 15876 = 666^2 + 126^2 .

It is a super-2 number, since 2×459432² = 422155525248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 459396 and 459405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 294 + ... + 1002.

2⁴⁵⁹⁴³² 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 459432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644325).

459432 is an abundant number, since it is smaller than the sum of its proper divisors (829218).

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

459432 is a wasteful number, since it uses less digits than its factorization.

459432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 459432 is about 677.8141338155. The cubic root of 459432 is about 77.1626404288.

The spelling of 459432 in words is "four hundred fifty-nine thousand, four hundred thirty-two".