432325152 has 144 divisors (see below), whose sum is σ = 1416647232. Its totient is φ = 122503680.

The previous prime is 432325151. The next prime is 432325189. The reversal of 432325152 is 251523234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (432325151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263278 + ... + 264914.

It is an arithmetic number, because the mean of its divisors is an integer number (9837828).

Almost surely, 2^432325152 is an apocalyptic number.

432325152 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 432325152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708323616).

432325152 is an abundant number, since it is smaller than the sum of its proper divisors (984322080).

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

432325152 is a wasteful number, since it uses less digits than its factorization.

432325152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1780 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 432325152 is about 20792.4301609985. The cubic root of 432325152 is about 756.1422424886.

Adding to 432325152 its reverse (251523234), we get a palindrome (683848386).

It can be divided in two parts, 43232 and 5152, that added together give a palindrome (48384).

The spelling of 432325152 in words is "four hundred thirty-two million, three hundred twenty-five thousand, one hundred fifty-two".