205030400 has 66 divisors (see below), whose sum is σ = 508290570. Its totient is φ = 82001920.

The previous prime is 205030361. The next prime is 205030411. The reversal of 205030400 is 4030502.

It can be written as a sum of positive squares in 3 ways, for example, as 20939776 + 184090624 = 4576^2 + 13568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21596 + ... + 29604.

Almost surely, 2^205030400 is an apocalyptic number.

205030400 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 205030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254145285).

205030400 is an abundant number, since it is smaller than the sum of its proper divisors (303260170).

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

205030400 is an equidigital number, since it uses as much as digits as its factorization.

205030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 205030400 is about 14318.8826379714. The cubic root of 205030400 is about 589.6659988334.

Adding to 205030400 its reverse (4030502), we get a palindrome (209060902).

The spelling of 205030400 in words is "two hundred five million, thirty thousand, four hundred".