432133020 has 72 divisors (see below), whose sum is σ = 1429974000. Its totient is φ = 104759040.

The previous prime is 432133001. The next prime is 432133021. The reversal of 432133020 is 20331234.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 432132984 and 432133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432133021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107145 + ... + 111104.

It is an arithmetic number, because the mean of its divisors is an integer number (19860750).

Almost surely, 2^432133020 is an apocalyptic number.

It is an amenable number.

432133020 is an abundant number, since it is smaller than the sum of its proper divisors (997840980).

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

432133020 is a wasteful number, since it uses less digits than its factorization.

432133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218275 (or 218270 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 432133020 is about 20787.8094084009. The cubic root of 432133020 is about 756.0302121125.

Adding to 432133020 its reverse (20331234), we get a palindrome (452464254).

The spelling of 432133020 in words is "four hundred thirty-two million, one hundred thirty-three thousand, twenty".