432420032 has 56 divisors (see below), whose sum is σ = 938613312. Its totient is φ = 196025600.

The previous prime is 432420029. The next prime is 432420049. The reversal of 432420032 is 230024234.

It is a junction number, because it is equal to n+sod(n) for n = 432419986 and 432420013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395807 + ... + 396897.

It is an arithmetic number, because the mean of its divisors is an integer number (16760952).

Almost surely, 2^432420032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469306656).

432420032 is an abundant number, since it is smaller than the sum of its proper divisors (506193280).

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

432420032 is a wasteful number, since it uses less digits than its factorization.

432420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 432420032 is about 20794.7116354135. The cubic root of 432420032 is about 756.1975538886.

Adding to 432420032 its reverse (230024234), we get a palindrome (662444266).

The spelling of 432420032 in words is "four hundred thirty-two million, four hundred twenty thousand, thirty-two".