432040200 has 96 divisors (see below), whose sum is σ = 1345747200. Its totient is φ = 114658560.

The previous prime is 432040199. The next prime is 432040201. The reversal of 432040200 is 2040234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432040199) and next prime (432040201).

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

It is a self number, because there is not a number n which added to its sum of digits gives 432040200.

It is not an unprimeable number, because it can be changed into a prime (432040201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132186 + ... + 135414.

It is an arithmetic number, because the mean of its divisors is an integer number (14018200).

Almost surely, 2^432040200 is an apocalyptic number.

432040200 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 432040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672873600).

432040200 is an abundant number, since it is smaller than the sum of its proper divisors (913707000).

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

432040200 is a wasteful number, since it uses less digits than its factorization.

432040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3462 counting only the distinct ones).

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

The square root of 432040200 is about 20785.5767300309. The cubic root of 432040200 is about 755.9760777403.

Adding to 432040200 its reverse (2040234), we get a palindrome (434080434).

The spelling of 432040200 in words is "four hundred thirty-two million, forty thousand, two hundred".