432114144 has 192 divisors, whose sum is σ = 1444262400. Its totient is φ = 112143360.

The previous prime is 432114139. The next prime is 432114191. The reversal of 432114144 is 441411234.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361612 + ... + 362804.

It is an arithmetic number, because the mean of its divisors is an integer number (7522200).

Almost surely, 2^432114144 is an apocalyptic number.

432114144 is a gapful number since it is divisible by the number (44) 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 432114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722131200).

432114144 is an abundant number, since it is smaller than the sum of its proper divisors (1012148256).

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

432114144 is a wasteful number, since it uses less digits than its factorization.

432114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1216 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 432114144 is about 20787.3553873503. The cubic root of 432114144 is about 756.0192039018.

Adding to 432114144 its reverse (441411234), we get a palindrome (873525378).

The spelling of 432114144 in words is "four hundred thirty-two million, one hundred fourteen thousand, one hundred forty-four".