432024 has 32 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 140576.

The previous prime is 432023. The next prime is 432031. The reversal of 432024 is 420234.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 431994 and 432012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2⁴³²⁰²⁴ 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 432024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

432024 is an abundant number, since it is smaller than the sum of its proper divisors (673896).

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

432024 is a wasteful number, since it uses less digits than its factorization.

432024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 432024 is about 657.2853261712. The cubic root of 432024 is about 75.5966628800.

Adding to 432024 its reverse (420234), we get a palindrome (852258).

The spelling of 432024 in words is "four hundred thirty-two thousand, twenty-four".