205431400 has 192 divisors, whose sum is σ = 549607680. Its totient is φ = 70963200.

The previous prime is 205431379. The next prime is 205431431. The reversal of 205431400 is 4134502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2893365 + ... + 2893435.

It is an arithmetic number, because the mean of its divisors is an integer number (2862540).

Almost surely, 2^205431400 is an apocalyptic number.

205431400 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 205431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274803840).

205431400 is an abundant number, since it is smaller than the sum of its proper divisors (344176280).

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

205431400 is a wasteful number, since it uses less digits than its factorization.

205431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 205431400 is about 14332.8782873504. The cubic root of 205431400 is about 590.0501728854.

Adding to 205431400 its reverse (4134502), we get a palindrome (209565902).

The spelling of 205431400 in words is "two hundred five million, four hundred thirty-one thousand, four hundred".