432200040 has 64 divisors (see below), whose sum is σ = 1298116800. Its totient is φ = 115118592.

The previous prime is 432200039. The next prime is 432200059. The reversal of 432200040 is 40002234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 432199992 and 432200019.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141651 + ... + 144669.

It is an arithmetic number, because the mean of its divisors is an integer number (20283075).

Almost surely, 2^432200040 is an apocalyptic number.

432200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432200040 is an abundant number, since it is smaller than the sum of its proper divisors (865916760).

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

432200040 is a wasteful number, since it uses less digits than its factorization.

432200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 432200040 is about 20789.4213483685. The cubic root of 432200040 is about 756.0692946197.

Adding to 432200040 its reverse (40002234), we get a palindrome (472202274).

The spelling of 432200040 in words is "four hundred thirty-two million, two hundred thousand, forty".