432120416 has 288 divisors, whose sum is σ = 1194510240. Its totient is φ = 151732224.

The previous prime is 432120391. The next prime is 432120449. The reversal of 432120416 is 614021234.

It is a junction number, because it is equal to n+sod(n) for n = 432120391 and 432120400.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10049291 + ... + 10049333.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2^432120416 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 432120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597255120).

432120416 is an abundant number, since it is smaller than the sum of its proper divisors (762389824).

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

432120416 is a wasteful number, since it uses less digits than its factorization.

432120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 432120416 is about 20787.5062477441. The cubic root of 432120416 is about 756.0228616772.

The spelling of 432120416 in words is "four hundred thirty-two million, one hundred twenty thousand, four hundred sixteen".