204935040 has 192 divisors, whose sum is σ = 723677760. Its totient is φ = 53415936.

The previous prime is 204935021. The next prime is 204935057. The reversal of 204935040 is 40539402.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 204934995 and 204935013.

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, 270342 + ... + 271098.

It is an arithmetic number, because the mean of its divisors is an integer number (3769155).

Almost surely, 2^204935040 is an apocalyptic number.

204935040 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 204935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361838880).

204935040 is an abundant number, since it is smaller than the sum of its proper divisors (518742720).

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

204935040 is a wasteful number, since it uses less digits than its factorization.

204935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 204935040 is about 14315.5523819376. The cubic root of 204935040 is about 589.5745664255.

The spelling of 204935040 in words is "two hundred four million, nine hundred thirty-five thousand, forty".