205841952 has 192 divisors, whose sum is σ = 634314240. Its totient is φ = 64862208.

The previous prime is 205841873. The next prime is 205841957. The reversal of 205841952 is 259148502.

205841952 is a `hidden beast` number, since 20 + 584 + 1 + 9 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (205841957) 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, 1502428 + ... + 1502564.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2^205841952 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 205841952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317157120).

205841952 is an abundant number, since it is smaller than the sum of its proper divisors (428472288).

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

205841952 is a wasteful number, since it uses less digits than its factorization.

205841952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 205841952 is about 14347.1931749733. The cubic root of 205841952 is about 590.4429805447.

The spelling of 205841952 in words is "two hundred five million, eight hundred forty-one thousand, nine hundred fifty-two".