204005952 has 280 divisors, whose sum is σ = 663854400. Its totient is φ = 61737984.

The previous prime is 204005941. The next prime is 204005987. The reversal of 204005952 is 259500402.

204005952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3457699 + ... + 3457757.

Almost surely, 2^204005952 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 204005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331927200).

204005952 is an abundant number, since it is smaller than the sum of its proper divisors (459848448).

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

204005952 is a wasteful number, since it uses less digits than its factorization.

204005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 204005952 is about 14283.0652172424. The cubic root of 204005952 is about 588.6822568005.

The spelling of 204005952 in words is "two hundred four million, five thousand, nine hundred fifty-two".