432142032 has 160 divisors (see below), whose sum is σ = 1342771200. Its totient is φ = 117089280.

The previous prime is 432141971. The next prime is 432142033. The reversal of 432142032 is 230241234.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432142033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537732 + ... + 1538012.

It is an arithmetic number, because the mean of its divisors is an integer number (8392320).

Almost surely, 2^432142032 is an apocalyptic number.

432142032 is a gapful number since it is divisible by the number (42) 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 432142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671385600).

432142032 is an abundant number, since it is smaller than the sum of its proper divisors (910629168).

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

432142032 is a wasteful number, since it uses less digits than its factorization.

432142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 432142032 is about 20788.0261689271. The cubic root of 432142032 is about 756.0354676678.

Adding to 432142032 its reverse (230241234), we get a palindrome (662383266).

The spelling of 432142032 in words is "four hundred thirty-two million, one hundred forty-two thousand, thirty-two".