204852000 has 192 divisors, whose sum is σ = 688431744. Its totient is φ = 53222400.

The previous prime is 204851987. The next prime is 204852001. The reversal of 204852000 is 258402.

It is not an unprimeable number, because it can be changed into a prime (204852001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515802 + ... + 516198.

It is an arithmetic number, because the mean of its divisors is an integer number (3585582).

Almost surely, 2^204852000 is an apocalyptic number.

204852000 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 204852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344215872).

204852000 is an abundant number, since it is smaller than the sum of its proper divisors (483579744).

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

204852000 is a wasteful number, since it uses less digits than its factorization.

204852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 204852000 is about 14312.6517459205. The cubic root of 204852000 is about 589.4949234873.

The spelling of 204852000 in words is "two hundred four million, eight hundred fifty-two thousand".