432423040 has 96 divisors (see below), whose sum is σ = 1202625900. Its totient is φ = 148248576.

The previous prime is 432423037. The next prime is 432423041. The reversal of 432423040 is 40324234.

It can be written as a sum of positive squares in 2 ways, for example, as 408686656 + 23736384 = 20216^2 + 4872^2 .

It is not an unprimeable number, because it can be changed into a prime (432423041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24466 + ... + 38254.

Almost surely, 2^432423040 is an apocalyptic number.

432423040 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 432423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601312950).

432423040 is an abundant number, since it is smaller than the sum of its proper divisors (770202860).

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

432423040 is a wasteful number, since it uses less digits than its factorization.

432423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13822 (or 13803 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 432423040 is about 20794.7839613688. The cubic root of 432423040 is about 756.1993073049.

Adding to 432423040 its reverse (40324234), we get a palindrome (472747274).

The spelling of 432423040 in words is "four hundred thirty-two million, four hundred twenty-three thousand, forty".