205380300 has 72 divisors (see below), whose sum is σ = 605492496. Its totient is φ = 53730560.

The previous prime is 205380299. The next prime is 205380311. The reversal of 205380300 is 3083502.

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, 9442 + ... + 22358.

It is an arithmetic number, because the mean of its divisors is an integer number (8409618).

Almost surely, 2^205380300 is an apocalyptic number.

205380300 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 205380300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302746248).

205380300 is an abundant number, since it is smaller than the sum of its proper divisors (400112196).

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

205380300 is a wasteful number, since it uses less digits than its factorization.

205380300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12987 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 205380300 is about 14331.0955617496. The cubic root of 205380300 is about 590.0012448504.

The spelling of 205380300 in words is "two hundred five million, three hundred eighty thousand, three hundred".