205413140 has 12 divisors (see below), whose sum is σ = 431367636. Its totient is φ = 82165248.

The previous prime is 205413137. The next prime is 205413149. The reversal of 205413140 is 41314502.

205413140 is digitally balanced in base 2, 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 2 ways, for example, as 160630276 + 44782864 = 12674^2 + 6692^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10270657 = 205413140 / (2 + 0 + 5 + 4 + 1 + 3 + 1 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205413149) 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, 5135309 + ... + 5135348.

It is an arithmetic number, because the mean of its divisors is an integer number (35947303).

Almost surely, 2^205413140 is an apocalyptic number.

205413140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205413140 is an abundant number, since it is smaller than the sum of its proper divisors (225954496).

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

205413140 is a wasteful number, since it uses less digits than its factorization.

205413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10270666 (or 10270664 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 205413140 is about 14332.2412762275. The cubic root of 205413140 is about 590.0326899440.

Adding to 205413140 its reverse (41314502), we get a palindrome (246727642).

The spelling of 205413140 in words is "two hundred five million, four hundred thirteen thousand, one hundred forty".