205230560 has 48 divisors (see below), whose sum is σ = 485723952. Its totient is φ = 81945600.

The previous prime is 205230551. The next prime is 205230569. The reversal of 205230560 is 65032502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205230551) and next prime (205230569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205230569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154700 + ... + 156020.

It is an arithmetic number, because the mean of its divisors is an integer number (10119249).

Almost surely, 2^205230560 is an apocalyptic number.

205230560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205230560 is an abundant number, since it is smaller than the sum of its proper divisors (280493392).

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

205230560 is a wasteful number, since it uses less digits than its factorization.

205230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 205230560 is about 14325.8703051507. The cubic root of 205230560 is about 589.8578226787.

The spelling of 205230560 in words is "two hundred five million, two hundred thirty thousand, five hundred sixty".