432038568 has 128 divisors (see below), whose sum is σ = 1264435200. Its totient is φ = 121824000.

The previous prime is 432038567. The next prime is 432038591. The reversal of 432038568 is 865830234.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (432038567) 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, 182593 + ... + 184943.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2^432038568 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 432038568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632217600).

432038568 is an abundant number, since it is smaller than the sum of its proper divisors (832396632).

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

432038568 is a wasteful number, since it uses less digits than its factorization.

432038568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 432038568 is about 20785.5374720020. The cubic root of 432038568 is about 755.9751258578.

The spelling of 432038568 in words is "four hundred thirty-two million, thirty-eight thousand, five hundred sixty-eight".