432201220 has 96 divisors (see below), whose sum is σ = 1021579776. Its totient is φ = 152256000.

The previous prime is 432201199. The next prime is 432201247. The reversal of 432201220 is 22102234.

It is a junction number, because it is equal to n+sod(n) for n = 432201194 and 432201203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177477 + ... + 1177843.

It is an arithmetic number, because the mean of its divisors is an integer number (10641456).

Almost surely, 2^432201220 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 432201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510789888).

432201220 is an abundant number, since it is smaller than the sum of its proper divisors (589378556).

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

432201220 is a wasteful number, since it uses less digits than its factorization.

432201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 432201220 is about 20789.4497281674. The cubic root of 432201220 is about 756.0699826969.

Adding to 432201220 its reverse (22102234), we get a palindrome (454303454).

The spelling of 432201220 in words is "four hundred thirty-two million, two hundred one thousand, two hundred twenty".