432120144 has 80 divisors (see below), whose sum is σ = 1185674112. Its totient is φ = 135143424.

The previous prime is 432120121. The next prime is 432120149. The reversal of 432120144 is 441021234.

It is a self number, because there is not a number n which added to its sum of digits gives 432120144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432120149) 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, 352717 + ... + 353939.

Almost surely, 2^432120144 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 432120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592837056).

432120144 is an abundant number, since it is smaller than the sum of its proper divisors (753553968).

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

432120144 is a wasteful number, since it uses less digits than its factorization.

432120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 432120144 is about 20787.4997053518. The cubic root of 432120144 is about 756.0227030499.

Adding to 432120144 its reverse (441021234), we get a palindrome (873141378).

The spelling of 432120144 in words is "four hundred thirty-two million, one hundred twenty thousand, one hundred forty-four".