205060400 has 60 divisors (see below), whose sum is σ = 501065400. Its totient is φ = 80624640.

The previous prime is 205060399. The next prime is 205060403. The reversal of 205060400 is 4060502.

It is not an unprimeable number, because it can be changed into a prime (205060403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19256 + ... + 27944.

It is an arithmetic number, because the mean of its divisors is an integer number (8351090).

Almost surely, 2^205060400 is an apocalyptic number.

205060400 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 205060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250532700).

205060400 is an abundant number, since it is smaller than the sum of its proper divisors (296005000).

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

205060400 is a wasteful number, since it uses less digits than its factorization.

205060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 205060400 is about 14319.9301674275. The cubic root of 205060400 is about 589.6947573610.

The spelling of 205060400 in words is "two hundred five million, sixty thousand, four hundred".