432212032 has 112 divisors (see below), whose sum is σ = 1013886720. Its totient is φ = 178993152.

The previous prime is 432212009. The next prime is 432212069. The reversal of 432212032 is 230212234.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×432212032³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2588013 + ... + 2588179.

It is an arithmetic number, because the mean of its divisors is an integer number (9052560).

Almost surely, 2^432212032 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 432212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506943360).

432212032 is an abundant number, since it is smaller than the sum of its proper divisors (581674688).

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

432212032 is a wasteful number, since it uses less digits than its factorization.

432212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

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

The square root of 432212032 is about 20789.7097622838. The cubic root of 432212032 is about 756.0762872915.

Adding to 432212032 its reverse (230212234), we get a palindrome (662424266).

The spelling of 432212032 in words is "four hundred thirty-two million, two hundred twelve thousand, thirty-two".