432633432 has 128 divisors (see below), whose sum is σ = 1356572160. Its totient is φ = 111697920.

The previous prime is 432633431. The next prime is 432633437. The reversal of 432633432 is 234336234.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 432633432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432633431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356058 + ... + 357270.

It is an arithmetic number, because the mean of its divisors is an integer number (10598220).

Almost surely, 2^432633432 is an apocalyptic number.

432633432 is a gapful number since it is divisible by the number (42) 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 432633432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678286080).

432633432 is an abundant number, since it is smaller than the sum of its proper divisors (923938728).

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

432633432 is a wasteful number, since it uses less digits than its factorization.

432633432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1429 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

The square root of 432633432 is about 20799.8421147854. The cubic root of 432633432 is about 756.3219283451.

Adding to 432633432 its reverse (234336234), we get a palindrome (666969666).

The spelling of 432633432 in words is "four hundred thirty-two million, six hundred thirty-three thousand, four hundred thirty-two".