432244032 has 112 divisors (see below), whose sum is σ = 1260360192. Its totient is φ = 129646080.

The previous prime is 432244019. The next prime is 432244039. The reversal of 432244032 is 230442234.

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

It is a junction number, because it is equal to n+sod(n) for n = 432243993 and 432244011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432244039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 216543 + ... + 218529.

It is an arithmetic number, because the mean of its divisors is an integer number (11253216).

Almost surely, 2^432244032 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 432244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630180096).

432244032 is an abundant number, since it is smaller than the sum of its proper divisors (828116160).

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

432244032 is a wasteful number, since it uses less digits than its factorization.

432244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 432244032 is about 20790.4793595530. The cubic root of 432244032 is about 756.0949462230.

Adding to 432244032 its reverse (230442234), we get a palindrome (662686266).

The spelling of 432244032 in words is "four hundred thirty-two million, two hundred forty-four thousand, thirty-two".