204986952 has 96 divisors (see below), whose sum is σ = 591252480. Its totient is φ = 63936000.

The previous prime is 204986941. The next prime is 204986983. The reversal of 204986952 is 259689402.

204986952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204986898 and 204986907.

It is a congruent number.

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, 272577 + ... + 273327.

It is an arithmetic number, because the mean of its divisors is an integer number (6158880).

Almost surely, 2^204986952 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 204986952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295626240).

204986952 is an abundant number, since it is smaller than the sum of its proper divisors (386265528).

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

204986952 is a wasteful number, since it uses less digits than its factorization.

204986952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 204986952 is about 14317.3654001007. The cubic root of 204986952 is about 589.6243438427.

The spelling of 204986952 in words is "two hundred four million, nine hundred eighty-six thousand, nine hundred fifty-two".