205303040 has 72 divisors (see below), whose sum is σ = 496692000. Its totient is φ = 81299456.

The previous prime is 205303039. The next prime is 205303061. The reversal of 205303040 is 40303502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136211 + ... + 137709.

It is an arithmetic number, because the mean of its divisors is an integer number (6898500).

Almost surely, 2^205303040 is an apocalyptic number.

205303040 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 205303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248346000).

205303040 is an abundant number, since it is smaller than the sum of its proper divisors (291388960).

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

205303040 is a wasteful number, since it uses less digits than its factorization.

205303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 205303040 is about 14328.3997710840. The cubic root of 205303040 is about 589.9272533117.

Adding to 205303040 its reverse (40303502), we get a palindrome (245606542).

The spelling of 205303040 in words is "two hundred five million, three hundred three thousand, forty".