432000 has 128 divisors (see below), whose sum is σ = 1591200. Its totient is φ = 115200.

The previous prime is 431993. The next prime is 432001. The reversal of 432000 is 234.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

432000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432000.

It is not an unprimeable number, because it can be changed into a prime (432001) by changing a digit.

432000 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 15 ways as a sum of consecutive naturals, for example, 86398 + ... + 86402.

2⁴³²⁰⁰⁰ is an apocalyptic number.

432000 is a gapful number since it is divisible by the number (40) 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 432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795600).

432000 is an abundant number, since it is smaller than the sum of its proper divisors (1159200).

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

432000 is an equidigital number, since it uses as much as digits as its factorization.

432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 432000 is about 657.2670690062. The cubic root of 432000 is about 75.5952629937.

Adding to 432000 its reverse (234), we get a palindrome (432234).

The spelling of 432000 in words is "four hundred thirty-two thousand".