432213320 has 96 divisors (see below), whose sum is σ = 1234154880. Its totient is φ = 134709120.

The previous prime is 432213319. The next prime is 432213323. The reversal of 432213320 is 23312234.

It is a super-4 number, since 4×432213320⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 432213292 and 432213301.

It is not an unprimeable number, because it can be changed into a prime (432213323) 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, 11537 + ... + 31583.

It is an arithmetic number, because the mean of its divisors is an integer number (12855780).

Almost surely, 2^432213320 is an apocalyptic number.

432213320 is a gapful number since it is divisible by the number (40) 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 432213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617077440).

432213320 is an abundant number, since it is smaller than the sum of its proper divisors (801941560).

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

432213320 is a wasteful number, since it uses less digits than its factorization.

432213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20083 (or 20072 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 432213320 is about 20789.7407391242. The cubic root of 432213320 is about 756.0770383313.

Adding to 432213320 its reverse (23312234), we get a palindrome (455525554).

The spelling of 432213320 in words is "four hundred thirty-two million, two hundred thirteen thousand, three hundred twenty".