205385800 has 48 divisors (see below), whose sum is σ = 478473840. Its totient is φ = 81990720.

The previous prime is 205385783. The next prime is 205385813. The reversal of 205385800 is 8583502.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 176019 + ... + 177181.

It is an arithmetic number, because the mean of its divisors is an integer number (9968205).

Almost surely, 2^205385800 is an apocalyptic number.

205385800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205385800 is an abundant number, since it is smaller than the sum of its proper divisors (273088040).

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

205385800 is a wasteful number, since it uses less digits than its factorization.

205385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 205385800 is about 14331.2874508887. The cubic root of 205385800 is about 590.0065114670.

The spelling of 205385800 in words is "two hundred five million, three hundred eighty-five thousand, eight hundred".