205205440 has 112 divisors (see below), whose sum is σ = 539459424. Its totient is φ = 73728000.

The previous prime is 205205411. The next prime is 205205443. The reversal of 205205440 is 44502502.

205205440 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205205443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341140 + ... + 341740.

It is an arithmetic number, because the mean of its divisors is an integer number (4816602).

Almost surely, 2^205205440 is an apocalyptic number.

205205440 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 205205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269729712).

205205440 is an abundant number, since it is smaller than the sum of its proper divisors (334253984).

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

205205440 is a wasteful number, since it uses less digits than its factorization.

205205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

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

The square root of 205205440 is about 14324.9935427560. The cubic root of 205205440 is about 589.8337557089.

Adding to 205205440 its reverse (44502502), we get a palindrome (249707942).

The spelling of 205205440 in words is "two hundred five million, two hundred five thousand, four hundred forty".