205302240 has 288 divisors, whose sum is σ = 823900896. Its totient is φ = 45895680.

The previous prime is 205302221. The next prime is 205302247. The reversal of 205302240 is 42203502.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205302247) 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 47 ways as a sum of consecutive naturals, for example, 205422 + ... + 206418.

It is an arithmetic number, because the mean of its divisors is an integer number (2860767).

Almost surely, 2^205302240 is an apocalyptic number.

205302240 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 205302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411950448).

205302240 is an abundant number, since it is smaller than the sum of its proper divisors (618598656).

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

205302240 is a wasteful number, since it uses less digits than its factorization.

205302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205302240 is about 14328.3718544711. The cubic root of 205302240 is about 589.9264870584.

Adding to 205302240 its reverse (42203502), we get a palindrome (247505742).

The spelling of 205302240 in words is "two hundred five million, three hundred two thousand, two hundred forty".