205308288 has 96 divisors (see below), whose sum is σ = 609960000. Its totient is φ = 66216960.

The previous prime is 205308277. The next prime is 205308289. The reversal of 205308288 is 882803502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205308289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32838 + ... + 38586.

It is an arithmetic number, because the mean of its divisors is an integer number (6353750).

Almost surely, 2^205308288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205308288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304980000).

205308288 is an abundant number, since it is smaller than the sum of its proper divisors (404651712).

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

205308288 is a wasteful number, since it uses less digits than its factorization.

205308288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 205308288 is about 14328.5829027158. The cubic root of 205308288 is about 589.9322798842.

The spelling of 205308288 in words is "two hundred five million, three hundred eight thousand, two hundred eighty-eight".