204830010 has 144 divisors (see below), whose sum is σ = 669247488. Its totient is φ = 42546240.

The previous prime is 204829969. The next prime is 204830011. The reversal of 204830010 is 10038402.

It is a happy number.

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 (204830011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74887 + ... + 77573.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2^204830010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204830010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744).

204830010 is an abundant number, since it is smaller than the sum of its proper divisors (464417478).

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

204830010 is a wasteful number, since it uses less digits than its factorization.

204830010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 204830010 is about 14311.8835238413. The cubic root of 204830010 is about 589.4738294662.

Adding to 204830010 its reverse (10038402), we get a palindrome (214868412).

The spelling of 204830010 in words is "two hundred four million, eight hundred thirty thousand, ten".