432240502500 has 315 divisors, whose sum is σ = 1420103005167. Its totient is φ = 115027452000.

The previous prime is 432240502483. The next prime is 432240502501. The reversal of 432240502500 is 5205042234.

It is a happy number.

The square root of 432240502500 is 657450.

It is a perfect power (a square), and thus also a powerful number.

432240502500 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 405 + 0 + 250 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33887655396 + 398352847104 = 184086^2 + 631152^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (432240502501) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 887557257 + ... + 887557743.

Almost surely, 2^432240502500 is an apocalyptic number.

432240502500 is the 657450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432240502500

432240502500 is an abundant number, since it is smaller than the sum of its proper divisors (987862502667).

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

432240502500 is an frugal number, since it uses more digits than its factorization.

432240502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 432240502500 its reverse (5205042234), we get a palindrome (437445544734).

The spelling of 432240502500 in words is "four hundred thirty-two billion, two hundred forty million, five hundred two thousand, five hundred".