205230400 has 168 divisors, whose sum is σ = 547400480. Its totient is φ = 75479040.

The previous prime is 205230397. The next prime is 205230427. The reversal of 205230400 is 4032502.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1307122 + ... + 1307278.

Almost surely, 2^205230400 is an apocalyptic number.

205230400 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 205230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273700240).

205230400 is an abundant number, since it is smaller than the sum of its proper divisors (342170080).

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

205230400 is a wasteful number, since it uses less digits than its factorization.

205230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 205230400 is about 14325.8647208467. The cubic root of 205230400 is about 589.8576693921.

Adding to 205230400 its reverse (4032502), we get a palindrome (209262902).

The spelling of 205230400 in words is "two hundred five million, two hundred thirty thousand, four hundred".