432140320 has 48 divisors (see below), whose sum is σ = 1024311960. Its totient is φ = 172283904.

The previous prime is 432140309. The next prime is 432140321. The reversal of 432140320 is 23041234.

It can be written as a sum of positive squares in 4 ways, for example, as 263867536 + 168272784 = 16244^2 + 12972^2 .

It is not an unprimeable number, because it can be changed into a prime (432140321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45766 + ... + 54394.

Almost surely, 2^432140320 is an apocalyptic number.

432140320 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 432140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512155980).

432140320 is an abundant number, since it is smaller than the sum of its proper divisors (592171640).

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

432140320 is a wasteful number, since it uses less digits than its factorization.

432140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8957 (or 8949 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 432140320 is about 20787.9849913357. The cubic root of 432140320 is about 756.0344692812.

Adding to 432140320 its reverse (23041234), we get a palindrome (455181554).

The spelling of 432140320 in words is "four hundred thirty-two million, one hundred forty thousand, three hundred twenty".