432144 has 30 divisors (see below), whose sum is σ = 1209806. Its totient is φ = 144000.

The previous prime is 432143. The next prime is 432149. The reversal of 432144 is 441234.

432144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 57600 = 612^2 + 240^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its 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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1357 + ... + 1644.

2⁴³²¹⁴⁴ is an apocalyptic number.

It is an amenable number.

432144 is an abundant number, since it is smaller than the sum of its proper divisors (777662).

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

432144 is a wasteful number, since it uses less digits than its factorization.

432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3006 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 432144 is about 657.3766043905. The cubic root of 432144 is about 75.6036615343.

Adding to 432144 its reverse (441234), we get a palindrome (873378).

It can be divided in two parts, 432 and 144, that added together give a square (576 = 24²).

The spelling of 432144 in words is "four hundred thirty-two thousand, one hundred forty-four".