432376032 has 96 divisors (see below), whose sum is σ = 1242912384. Its totient is φ = 130521600.

The previous prime is 432376031. The next prime is 432376033. The reversal of 432376032 is 230673234.

It is an interprime number because it is at equal distance from previous prime (432376031) and next prime (432376033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432376031) 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, 348918 + ... + 350154.

It is an arithmetic number, because the mean of its divisors is an integer number (12947004).

Almost surely, 2^432376032 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 432376032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621456192).

432376032 is an abundant number, since it is smaller than the sum of its proper divisors (810536352).

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

432376032 is a wasteful number, since it uses less digits than its factorization.

432376032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 432376032 is about 20793.6536472069. The cubic root of 432376032 is about 756.1719045828.

The spelling of 432376032 in words is "four hundred thirty-two million, three hundred seventy-six thousand, thirty-two".