204561200 has 60 divisors (see below), whose sum is σ = 494376840. Its totient is φ = 81338880.

The previous prime is 204561199. The next prime is 204561211. The reversal of 204561200 is 2165402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70172 + ... + 73028.

It is an arithmetic number, because the mean of its divisors is an integer number (8239614).

Almost surely, 2^204561200 is an apocalyptic number.

204561200 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 204561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247188420).

204561200 is an abundant number, since it is smaller than the sum of its proper divisors (289815640).

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

204561200 is a wasteful number, since it uses less digits than its factorization.

204561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 204561200 is about 14302.4892938257. The cubic root of 204561200 is about 589.2158499709.

The spelling of 204561200 in words is "two hundred four million, five hundred sixty-one thousand, two hundred".