204528240 has 320 divisors, whose sum is σ = 819947520. Its totient is φ = 46469376.

The previous prime is 204528211. The next prime is 204528251. The reversal of 204528240 is 42825402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224637 + ... + 1224803.

It is an arithmetic number, because the mean of its divisors is an integer number (2562336).

Almost surely, 2^204528240 is an apocalyptic number.

204528240 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 204528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409973760).

204528240 is an abundant number, since it is smaller than the sum of its proper divisors (615419280).

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

204528240 is an equidigital number, since it uses as much as digits as its factorization.

204528240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 204528240 is about 14301.3370004346. The cubic root of 204528240 is about 589.1842023962.

The spelling of 204528240 in words is "two hundred four million, five hundred twenty-eight thousand, two hundred forty".