204981960 has 128 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 52377600.

The previous prime is 204981949. The next prime is 204981967. The reversal of 204981960 is 69189402.

204981960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (204981967) 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, 299779 + ... + 300461.

It is an arithmetic number, because the mean of its divisors is an integer number (5009445).

Almost surely, 2^204981960 is an apocalyptic number.

204981960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204981960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

204981960 is an abundant number, since it is smaller than the sum of its proper divisors (436227000).

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

204981960 is a wasteful number, since it uses less digits than its factorization.

204981960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 204981960 is about 14317.1910652893. The cubic root of 204981960 is about 589.6195574753.

The spelling of 204981960 in words is "two hundred four million, nine hundred eighty-one thousand, nine hundred sixty".