432142440 has 128 divisors (see below), whose sum is σ = 1334223360. Its totient is φ = 111919104.

The previous prime is 432142367. The next prime is 432142457. The reversal of 432142440 is 44241234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 432142440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088322 + ... + 1088718.

It is an arithmetic number, because the mean of its divisors is an integer number (10423620).

Almost surely, 2^432142440 is an apocalyptic number.

432142440 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 432142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667111680).

432142440 is an abundant number, since it is smaller than the sum of its proper divisors (902080920).

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

432142440 is a wasteful number, since it uses less digits than its factorization.

432142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 432142440 is about 20788.0359822663. The cubic root of 432142440 is about 756.0357056006.

Adding to 432142440 its reverse (44241234), we get a palindrome (476383674).

It can be divided in two parts, 43214 and 2440, that added together give a palindrome (45654).

The spelling of 432142440 in words is "four hundred thirty-two million, one hundred forty-two thousand, four hundred forty".