204538000 has 80 divisors (see below), whose sum is σ = 510681600. Its totient is φ = 79152000.

The previous prime is 204537959. The next prime is 204538003. The reversal of 204538000 is 835402.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (204538003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60351 + ... + 63649.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^204538000 is an apocalyptic number.

204538000 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 204538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255340800).

204538000 is an abundant number, since it is smaller than the sum of its proper divisors (306143600).

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

204538000 is a wasteful number, since it uses less digits than its factorization.

204538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 204538000 is about 14301.6782232016. The cubic root of 204538000 is about 589.1935741198.

The spelling of 204538000 in words is "two hundred four million, five hundred thirty-eight thousand".