432824 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 180960.

The previous prime is 432799. The next prime is 432833. The reversal of 432824 is 428234.

It is a super-2 number, since 2×432824² = 374673229952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 432824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3239 + ... + 3369.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁴³²⁸²⁴ 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 432824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

432824 is an abundant number, since it is smaller than the sum of its proper divisors (517576).

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

432824 is a wasteful number, since it uses less digits than its factorization.

432824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 432824 is about 657.8936084201. The cubic root of 432824 is about 75.6432961219.

The spelling of 432824 in words is "four hundred thirty-two thousand, eight hundred twenty-four".