205250440 has 32 divisors (see below), whose sum is σ = 462665880. Its totient is φ = 81948672.

The previous prime is 205250417. The next prime is 205250447. The reversal of 205250440 is 44052502.

205250440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 185340996 + 19909444 = 13614^2 + 4462^2 .

It is not an unprimeable number, because it can be changed into a prime (205250447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18634 + ... + 27526.

Almost surely, 2^205250440 is an apocalyptic number.

205250440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205250440 is an abundant number, since it is smaller than the sum of its proper divisors (257415440).

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

205250440 is a wasteful number, since it uses less digits than its factorization.

205250440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 205250440 is about 14326.5641379921. The cubic root of 205250440 is about 589.8768679173.

The spelling of 205250440 in words is "two hundred five million, two hundred fifty thousand, four hundred forty".