432115320 has 192 divisors, whose sum is σ = 1624281120. Its totient is φ = 91155456.

The previous prime is 432115303. The next prime is 432115331. The reversal of 432115320 is 23511234.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73614 + ... + 79266.

Almost surely, 2^432115320 is an apocalyptic number.

432115320 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 432115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812140560).

432115320 is an abundant number, since it is smaller than the sum of its proper divisors (1192165800).

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

432115320 is a wasteful number, since it uses less digits than its factorization.

432115320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 432115320 is about 20787.3836737575. The cubic root of 432115320 is about 756.0198897373.

Adding to 432115320 its reverse (23511234), we get a palindrome (455626554).

The spelling of 432115320 in words is "four hundred thirty-two million, one hundred fifteen thousand, three hundred twenty".