432444432 has 80 divisors (see below), whose sum is σ = 1279060992. Its totient is φ = 123331200.

The previous prime is 432444431. The next prime is 432444469. The reversal of 432444432 is 234444234.

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

It is a self number, because there is not a number n which added to its sum of digits gives 432444432.

It is not an unprimeable number, because it can be changed into a prime (432444431) 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, 297307 + ... + 298757.

Almost surely, 2^432444432 is an apocalyptic number.

432444432 is a gapful number since it is divisible by the number (42) 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 432444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639530496).

432444432 is an abundant number, since it is smaller than the sum of its proper divisors (846616560).

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

432444432 is a wasteful number, since it uses less digits than its factorization.

432444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2350 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 432444432 is about 20795.2983147634. The cubic root of 432444432 is about 756.2117768446.

Adding to 432444432 its reverse (234444234), we get a palindrome (666888666).

The spelling of 432444432 in words is "four hundred thirty-two million, four hundred forty-four thousand, four hundred thirty-two".