432987912 has 288 divisors, whose sum is σ = 1459710720. Its totient is φ = 115395840.

The previous prime is 432987901. The next prime is 432987917. The reversal of 432987912 is 219789234.

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

It is not an unprimeable number, because it can be changed into a prime (432987917) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4046563 + ... + 4046669.

It is an arithmetic number, because the mean of its divisors is an integer number (5068440).

Almost surely, 2^432987912 is an apocalyptic number.

432987912 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 432987912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729855360).

432987912 is an abundant number, since it is smaller than the sum of its proper divisors (1026722808).

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

432987912 is a wasteful number, since it uses less digits than its factorization.

432987912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 432987912 is about 20808.3615885538. The cubic root of 432987912 is about 756.5284371256.

The spelling of 432987912 in words is "four hundred thirty-two million, nine hundred eighty-seven thousand, nine hundred twelve".