204925640 has 64 divisors (see below), whose sum is σ = 495763200. Its totient is φ = 75990528.

The previous prime is 204925631. The next prime is 204925661. The reversal of 204925640 is 46529402.

204925640 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 = 204925597 and 204925606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32852 + ... + 38588.

It is an arithmetic number, because the mean of its divisors is an integer number (7746300).

Almost surely, 2^204925640 is an apocalyptic number.

204925640 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 204925640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247881600).

204925640 is an abundant number, since it is smaller than the sum of its proper divisors (290837560).

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

204925640 is a wasteful number, since it uses less digits than its factorization.

204925640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5814 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 204925640 is about 14315.2240639118. The cubic root of 204925640 is about 589.5655520476.

The spelling of 204925640 in words is "two hundred four million, nine hundred twenty-five thousand, six hundred forty".