432432 has 160 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 103680.

The previous prime is 432413. The next prime is 432433. The reversal of 432432 is 234234.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

Its product of digits (576) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432433) by changing a digit.

432432 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 31 ways as a sum of consecutive naturals, for example, 33258 + ... + 33270.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2⁴³²⁴³² is an apocalyptic number.

432432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

432432 is an abundant number, since it is smaller than the sum of its proper divisors (1234128).

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

432432 is a wasteful number, since it uses less digits than its factorization.

432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 432432 is about 657.5956204234. The cubic root of 432432 is about 75.6204530199.

Adding to 432432 its reverse (234234), we get a palindrome (666666).

It can be divided in two parts, 4324 and 32, that added together give a square (4356 = 66²).

The spelling of 432432 in words is "four hundred thirty-two thousand, four hundred thirty-two".