204960840 has 256 divisors, whose sum is σ = 769720320. Its totient is φ = 42577920.

The previous prime is 204960817. The next prime is 204960853. The reversal of 204960840 is 48069402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442449 + ... + 442911.

It is an arithmetic number, because the mean of its divisors is an integer number (3006720).

Almost surely, 2^204960840 is an apocalyptic number.

204960840 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 204960840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384860160).

204960840 is an abundant number, since it is smaller than the sum of its proper divisors (564759480).

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

204960840 is a wasteful number, since it uses less digits than its factorization.

204960840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 204960840 is about 14316.4534714433. The cubic root of 204960840 is about 589.5993065993.

The spelling of 204960840 in words is "two hundred four million, nine hundred sixty thousand, eight hundred forty".