205021432 has 96 divisors (see below), whose sum is σ = 490291200. Its totient is φ = 78661440.

The previous prime is 205021429. The next prime is 205021447. The reversal of 205021432 is 234120502.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535113 + ... + 535495.

It is an arithmetic number, because the mean of its divisors is an integer number (5107200).

Almost surely, 2^205021432 is an apocalyptic number.

205021432 is a gapful number since it is divisible by the number (22) 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 205021432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245145600).

205021432 is an abundant number, since it is smaller than the sum of its proper divisors (285269768).

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

205021432 is a wasteful number, since it uses less digits than its factorization.

205021432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 205021432 is about 14318.5694816207. The cubic root of 205021432 is about 589.6574014063.

Adding to 205021432 its reverse (234120502), we get a palindrome (439141934).

The spelling of 205021432 in words is "two hundred five million, twenty-one thousand, four hundred thirty-two".