432002112 has 112 divisors (see below), whose sum is σ = 1189353984. Its totient is φ = 138240000.

The previous prime is 432002089. The next prime is 432002119. The reversal of 432002112 is 211200234.

It is a super-3 number, since 3×432002112³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432002091 and 432002100.

It is not an unprimeable number, because it can be changed into a prime (432002119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077112 + ... + 1077512.

It is an arithmetic number, because the mean of its divisors is an integer number (10619232).

Almost surely, 2^432002112 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 432002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594676992).

432002112 is an abundant number, since it is smaller than the sum of its proper divisors (757351872).

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

432002112 is a wasteful number, since it uses less digits than its factorization.

432002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 432002112 is about 20784.6604975881. The cubic root of 432002112 is about 755.9538618577.

Adding to 432002112 its reverse (211200234), we get a palindrome (643202346).

The spelling of 432002112 in words is "four hundred thirty-two million, two thousand, one hundred twelve".