205300240 has 20 divisors (see below), whose sum is σ = 477323244. Its totient is φ = 82120064.

The previous prime is 205300237. The next prime is 205300241. The reversal of 205300240 is 42003502.

It can be written as a sum of positive squares in 2 ways, for example, as 95804944 + 109495296 = 9788^2 + 10464^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (205300241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1283047 + ... + 1283206.

Almost surely, 2^205300240 is an apocalyptic number.

205300240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205300240 is an abundant number, since it is smaller than the sum of its proper divisors (272023004).

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

205300240 is a wasteful number, since it uses less digits than its factorization.

205300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566266 (or 2566260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 205300240 is about 14328.3020627009. The cubic root of 205300240 is about 589.9245714163.

Adding to 205300240 its reverse (42003502), we get a palindrome (247303742).

The spelling of 205300240 in words is "two hundred five million, three hundred thousand, two hundred forty".