432384 has 36 divisors (see below), whose sum is σ = 1152816. Its totient is φ = 143872.

The previous prime is 432373. The next prime is 432389. The reversal of 432384 is 483234.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (432389) 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, 487 + ... + 1049.

2⁴³²³⁸⁴ 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 432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576408).

432384 is an abundant number, since it is smaller than the sum of its proper divisors (720432).

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

432384 is an equidigital number, since it uses as much as digits as its factorization.

432384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 432384 is about 657.5591228171. The cubic root of 432384 is about 75.6176549568.

The spelling of 432384 in words is "four hundred thirty-two thousand, three hundred eighty-four".