432412240 has 80 divisors (see below), whose sum is σ = 1109210256. Its totient is φ = 155750400.

The previous prime is 432412193. The next prime is 432412247. The reversal of 432412240 is 42214234.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 188677696 + 243734544 = 13736^2 + 15612^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432412247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37570 + ... + 47710.

Almost surely, 2^432412240 is an apocalyptic number.

432412240 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 432412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554605128).

432412240 is an abundant number, since it is smaller than the sum of its proper divisors (676798016).

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

432412240 is a wasteful number, since it uses less digits than its factorization.

432412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10208 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 432412240 is about 20794.5242792424. The cubic root of 432412240 is about 756.1930117565.

Adding to 432412240 its reverse (42214234), we get a palindrome (474626474).

The spelling of 432412240 in words is "four hundred thirty-two million, four hundred twelve thousand, two hundred forty".