205272804 has 96 divisors (see below), whose sum is σ = 536699520. Its totient is φ = 60544000.

The previous prime is 205272803. The next prime is 205272811. The reversal of 205272804 is 408272502.

205272804 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205272803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186462 + ... + 1186634.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2^205272804 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 205272804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268349760).

205272804 is an abundant number, since it is smaller than the sum of its proper divisors (331426716).

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

205272804 is a wasteful number, since it uses less digits than its factorization.

205272804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 205272804 is about 14327.3446248773. The cubic root of 205272804 is about 589.8982913828.

The spelling of 205272804 in words is "two hundred five million, two hundred seventy-two thousand, eight hundred four".