432411420 has 96 divisors (see below), whose sum is σ = 1417522176. Its totient is φ = 96422400.

The previous prime is 432411403. The next prime is 432411433. The reversal of 432411420 is 24114234.

It is a super-2 number, since 2×432411420² = 373959272292832800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 4665 + ... + 29775.

It is an arithmetic number, because the mean of its divisors is an integer number (14765856).

Almost surely, 2^432411420 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 432411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708761088).

432411420 is an abundant number, since it is smaller than the sum of its proper divisors (985110756).

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

432411420 is a wasteful number, since it uses less digits than its factorization.

432411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25171 (or 25169 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 432411420 is about 20794.5045625040. The cubic root of 432411420 is about 756.1925337569.

Adding to 432411420 its reverse (24114234), we get a palindrome (456525654).

The spelling of 432411420 in words is "four hundred thirty-two million, four hundred eleven thousand, four hundred twenty".