432024032 has 48 divisors (see below), whose sum is σ = 937509552. Its totient is φ = 194334720.

The previous prime is 432023987. The next prime is 432024083. The reversal of 432024032 is 230420234.

It is a junction number, because it is equal to n+sod(n) for n = 432023995 and 432024013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27818 + ... + 40470.

It is an arithmetic number, because the mean of its divisors is an integer number (19531449).

Almost surely, 2^432024032 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 432024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468754776).

432024032 is an abundant number, since it is smaller than the sum of its proper divisors (505485520).

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

432024032 is a wasteful number, since it uses less digits than its factorization.

432024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 432024032 is about 20785.1878028561. The cubic root of 432024032 is about 755.9666474653.

Adding to 432024032 its reverse (230420234), we get a palindrome (662444266).

The spelling of 432024032 in words is "four hundred thirty-two million, twenty-four thousand, thirty-two".