204525000 has 240 divisors, whose sum is σ = 723117780. Its totient is φ = 54000000.

The previous prime is 204524989. The next prime is 204525001. The reversal of 204525000 is 525402.

204525000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 777924 + 203747076 = 882^2 + 14274^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204525001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2024950 + ... + 2025050.

Almost surely, 2^204525000 is an apocalyptic number.

204525000 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 204525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361558890).

204525000 is an abundant number, since it is smaller than the sum of its proper divisors (518592780).

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

204525000 is an equidigital number, since it uses as much as digits as its factorization.

204525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 204525000 is about 14301.2237238636. The cubic root of 204525000 is about 589.1810912254.

It can be divided in two parts, 20452 and 5000, that added together give a palindrome (25452).

The spelling of 204525000 in words is "two hundred four million, five hundred twenty-five thousand".