432114432 has 144 divisors (see below), whose sum is σ = 1271531520. Its totient is φ = 129581056.

The previous prime is 432114427. The next prime is 432114451. The reversal of 432114432 is 234411234.

It is a super-3 number, since 3×432114432³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299569 + ... + 301007.

It is an arithmetic number, because the mean of its divisors is an integer number (8830080).

Almost surely, 2^432114432 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 432114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635765760).

432114432 is an abundant number, since it is smaller than the sum of its proper divisors (839417088).

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

432114432 is a wasteful number, since it uses less digits than its factorization.

432114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1484 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 432114432 is about 20787.3623146372. The cubic root of 432114432 is about 756.0193718616.

Adding to 432114432 its reverse (234411234), we get a palindrome (666525666).

The spelling of 432114432 in words is "four hundred thirty-two million, one hundred fourteen thousand, four hundred thirty-two".