205130432 has 56 divisors (see below), whose sum is σ = 464186016. Its totient is φ = 89100288.

The previous prime is 205130407. The next prime is 205130467. The reversal of 205130432 is 234031502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6893 + ... + 21395.

It is an arithmetic number, because the mean of its divisors is an integer number (8289036).

Almost surely, 2^205130432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232093008).

205130432 is an abundant number, since it is smaller than the sum of its proper divisors (259055584).

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

205130432 is a wasteful number, since it uses less digits than its factorization.

205130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14545 (or 14535 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 205130432 is about 14322.3752220084. The cubic root of 205130432 is about 589.7618803531.

Adding to 205130432 its reverse (234031502), we get a palindrome (439161934).

The spelling of 205130432 in words is "two hundred five million, one hundred thirty thousand, four hundred thirty-two".