204351840 has 576 divisors, whose sum is σ = 924618240. Its totient is φ = 39813120.

The previous prime is 204351811. The next prime is 204351841. The reversal of 204351840 is 48153402.

It is a super-2 number, since 2×204351840² = 83519349022771200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204351841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106672 + ... + 2106768.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^204351840 is an apocalyptic number.

204351840 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 204351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

204351840 is an abundant number, since it is smaller than the sum of its proper divisors (720266400).

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

204351840 is a wasteful number, since it uses less digits than its factorization.

204351840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 204351840 is about 14295.1684145378. The cubic root of 204351840 is about 589.0147686021.

The spelling of 204351840 in words is "two hundred four million, three hundred fifty-one thousand, eight hundred forty".