432864 has 60 divisors (see below), whose sum is σ = 1280664. Its totient is φ = 143424.

The previous prime is 432857. The next prime is 432869. The reversal of 432864 is 468234.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432869) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2509 + ... + 2675.

432864 is a Friedman number, since it can be written as (342-8)*6^4, using all its digits and the basic arithmetic operations.

2⁴³²⁸⁶⁴ 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 432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640332).

432864 is an abundant number, since it is smaller than the sum of its proper divisors (847800).

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

432864 is a wasteful number, since it uses less digits than its factorization.

432864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 432864 is about 657.9240077699. The cubic root of 432864 is about 75.6456262751.

It can be divided in two parts, 432 and 864, that multiplied together give a cube (373248 = 72³).

The spelling of 432864 in words is "four hundred thirty-two thousand, eight hundred sixty-four".