205400250 has 192 divisors, whose sum is σ = 623196288. Its totient is φ = 48384000.

The previous prime is 205400249. The next prime is 205400267. The reversal of 205400250 is 52004502.

205400250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1064154 + ... + 1064346.

It is an arithmetic number, because the mean of its divisors is an integer number (3245814).

Almost surely, 2^205400250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205400250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311598144).

205400250 is an abundant number, since it is smaller than the sum of its proper divisors (417796038).

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

205400250 is a wasteful number, since it uses less digits than its factorization.

205400250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 205400250 is about 14331.7915837483. The cubic root of 205400250 is about 590.0203478571.

Adding to 205400250 its reverse (52004502), we get a palindrome (257404752).

The spelling of 205400250 in words is "two hundred five million, four hundred thousand, two hundred fifty".