432342432 has 72 divisors (see below), whose sum is σ = 1234773540. Its totient is φ = 143493120.

The previous prime is 432342409. The next prime is 432342437. The reversal of 432342432 is 234243234.

It can be written as a sum of positive squares in 2 ways, for example, as 424524816 + 7817616 = 20604^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 432342396 and 432342405.

It is not an unprimeable number, because it can be changed into a prime (432342437) 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 11 ways as a sum of consecutive naturals, for example, 66294 + ... + 72522.

Almost surely, 2^432342432 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 432342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617386770).

432342432 is an abundant number, since it is smaller than the sum of its proper divisors (802431108).

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

432342432 is a wasteful number, since it uses less digits than its factorization.

432342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6475 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 432342432 is about 20792.8456926896. The cubic root of 432342432 is about 756.1523166683.

Adding to 432342432 its reverse (234243234), we get a palindrome (666585666).

The spelling of 432342432 in words is "four hundred thirty-two million, three hundred forty-two thousand, four hundred thirty-two".