204252000 has 96 divisors (see below), whose sum is σ = 669168864. Its totient is φ = 54464000.

The previous prime is 204251981. The next prime is 204252001. The reversal of 204252000 is 252402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204252001) 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 15 ways as a sum of consecutive naturals, for example, 3490 + ... + 20510.

It is an arithmetic number, because the mean of its divisors is an integer number (6970509).

Almost surely, 2^204252000 is an apocalyptic number.

204252000 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 204252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334584432).

204252000 is an abundant number, since it is smaller than the sum of its proper divisors (464916864).

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

204252000 is a wasteful number, since it uses less digits than its factorization.

204252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049 (or 17031 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 204252000 is about 14291.6758989280. The cubic root of 204252000 is about 588.9188281655.

The spelling of 204252000 in words is "two hundred four million, two hundred fifty-two thousand".