205784730 has 96 divisors (see below), whose sum is σ = 549020160. Its totient is φ = 53464320.

The previous prime is 205784723. The next prime is 205784759. The reversal of 205784730 is 37487502.

205784730 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732190 + ... + 732470.

It is an arithmetic number, because the mean of its divisors is an integer number (5718960).

Almost surely, 2^205784730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205784730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274510080).

205784730 is an abundant number, since it is smaller than the sum of its proper divisors (343235430).

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

205784730 is a wasteful number, since it uses less digits than its factorization.

205784730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 205784730 is about 14345.1988483952. The cubic root of 205784730 is about 590.3882630634.

The spelling of 205784730 in words is "two hundred five million, seven hundred eighty-four thousand, seven hundred thirty".