205285500 has 360 divisors, whose sum is σ = 795259920. Its totient is φ = 44452800.

The previous prime is 205285499. The next prime is 205285513. The reversal of 205285500 is 5582502.

205285500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10804491 + ... + 10804509.

Almost surely, 2^205285500 is an apocalyptic number.

205285500 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 205285500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397629960).

205285500 is an abundant number, since it is smaller than the sum of its proper divisors (589974420).

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

205285500 is a wasteful number, since it uses less digits than its factorization.

205285500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 205285500 is about 14327.7876868692. The cubic root of 205285500 is about 589.9104527507.

The spelling of 205285500 in words is "two hundred five million, two hundred eighty-five thousand, five hundred".