432124420 has 96 divisors (see below), whose sum is σ = 1144313856. Its totient is φ = 133401600.

The previous prime is 432124397. The next prime is 432124421. The reversal of 432124420 is 24421234.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 432124391 and 432124400.

It is not an unprimeable number, because it can be changed into a prime (432124421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71725 + ... + 77515.

It is an arithmetic number, because the mean of its divisors is an integer number (11919936).

Almost surely, 2^432124420 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 432124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572156928).

432124420 is an abundant number, since it is smaller than the sum of its proper divisors (712189436).

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

432124420 is a wasteful number, since it uses less digits than its factorization.

432124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 432124420 is about 20787.6025553694. The cubic root of 432124420 is about 756.0251967564.

Adding to 432124420 its reverse (24421234), we get a palindrome (456545654).

The spelling of 432124420 in words is "four hundred thirty-two million, one hundred twenty-four thousand, four hundred twenty".