432032 has 24 divisors (see below), whose sum is σ = 889056. Its totient is φ = 206272.

The previous prime is 432031. The next prime is 432037. The reversal of 432032 is 230234.

432032 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 431998 and 432016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432032.

It is not an unprimeable number, because it can be changed into a prime (432031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

432032 is a Friedman number, since it can be written as 2^4*(30^3+2), using all its digits and the basic arithmetic operations.

2⁴³²⁰³² 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 432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444528).

432032 is an abundant number, since it is smaller than the sum of its proper divisors (457024).

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

432032 is a wasteful number, since it uses less digits than its factorization.

432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 432032 is about 657.2914117802. The cubic root of 432032 is about 75.5971294973.

Adding to 432032 its reverse (230234), we get a palindrome (662266).

The spelling of 432032 in words is "four hundred thirty-two thousand, thirty-two".