204838620 has 216 divisors, whose sum is σ = 707800464. Its totient is φ = 44126208.

The previous prime is 204838609. The next prime is 204838633. The reversal of 204838620 is 26838402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1061244 + ... + 1061436.

It is an arithmetic number, because the mean of its divisors is an integer number (3276854).

Almost surely, 2^204838620 is an apocalyptic number.

204838620 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 204838620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353900232).

204838620 is an abundant number, since it is smaller than the sum of its proper divisors (502961844).

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

204838620 is a wasteful number, since it uses less digits than its factorization.

204838620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 204838620 is about 14312.1843196627. The cubic root of 204838620 is about 589.4820888330.

The spelling of 204838620 in words is "two hundred four million, eight hundred thirty-eight thousand, six hundred twenty".