205258560 has 112 divisors (see below), whose sum is σ = 701869056. Its totient is φ = 50522112.

The previous prime is 205258523. The next prime is 205258589. The reversal of 205258560 is 65852502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4257 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (6266688).

Almost surely, 2^205258560 is an apocalyptic number.

205258560 is a gapful number since it is divisible by the number (20) 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 205258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350934528).

205258560 is an abundant number, since it is smaller than the sum of its proper divisors (496610496).

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

205258560 is a wasteful number, since it uses less digits than its factorization.

205258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 205258560 is about 14326.8475248395. The cubic root of 205258560 is about 589.8846466046.

The spelling of 205258560 in words is "two hundred five million, two hundred fifty-eight thousand, five hundred sixty".