432444144 has 80 divisors (see below), whose sum is σ = 1228492800. Its totient is φ = 129991680.

The previous prime is 432444083. The next prime is 432444157. The reversal of 432444144 is 441444234.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63832 + ... + 70280.

It is an arithmetic number, because the mean of its divisors is an integer number (15356160).

Almost surely, 2^432444144 is an apocalyptic number.

432444144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614246400).

432444144 is an abundant number, since it is smaller than the sum of its proper divisors (796048656).

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

432444144 is a wasteful number, since it uses less digits than its factorization.

432444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6592 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 432444144 is about 20795.2913901200. The cubic root of 432444144 is about 756.2116089702.

Adding to 432444144 its reverse (441444234), we get a palindrome (873888378).

The spelling of 432444144 in words is "four hundred thirty-two million, four hundred forty-four thousand, one hundred forty-four".