432341120 has 96 divisors (see below), whose sum is σ = 1081303020. Its totient is φ = 165287936.

The previous prime is 432341071. The next prime is 432341137. The reversal of 432341120 is 21143234.

It can be written as a sum of positive squares in 2 ways, for example, as 432307264 + 33856 = 20792^2 + 184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 432341092 and 432341101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337922 + ... + 339198.

Almost surely, 2^432341120 is an apocalyptic number.

432341120 is a gapful number since it is divisible by the number (40) 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 432341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540651510).

432341120 is an abundant number, since it is smaller than the sum of its proper divisors (648961900).

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

432341120 is a wasteful number, since it uses less digits than its factorization.

432341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 432341120 is about 20792.8141433525. The cubic root of 432341120 is about 756.1515517863.

Adding to 432341120 its reverse (21143234), we get a palindrome (453484354).

The spelling of 432341120 in words is "four hundred thirty-two million, three hundred forty-one thousand, one hundred twenty".