204840000 has 210 divisors, whose sum is σ = 734975670. Its totient is φ = 54528000.

The previous prime is 204839993. The next prime is 204840061. The reversal of 204840000 is 48402.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 117679104 + 87160896 = 10848^2 + 9336^2 .

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 359716 + ... + 360284.

Almost surely, 2^204840000 is an apocalyptic number.

204840000 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 204840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367487835).

204840000 is an abundant number, since it is smaller than the sum of its proper divisors (530135670).

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

204840000 is an equidigital number, since it uses as much as digits as its factorization.

204840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204840000 is about 14312.2325302519. The cubic root of 204840000 is about 589.4834126124.

Adding to 204840000 its reverse (48402), we get a palindrome (204888402).

The spelling of 204840000 in words is "two hundred four million, eight hundred forty thousand".