205757340 has 48 divisors (see below), whose sum is σ = 578696832. Its totient is φ = 54623296.

The previous prime is 205757339. The next prime is 205757347. The reversal of 205757340 is 43757502.

205757340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205757347) 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, 6067 + ... + 21173.

It is an arithmetic number, because the mean of its divisors is an integer number (12056184).

Almost surely, 2^205757340 is an apocalyptic number.

205757340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205757340 is an abundant number, since it is smaller than the sum of its proper divisors (372939492).

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

205757340 is a wasteful number, since it uses less digits than its factorization.

205757340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15346 (or 15344 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 205757340 is about 14344.2441418152. The cubic root of 205757340 is about 590.3620682918.

The spelling of 205757340 in words is "two hundred five million, seven hundred fifty-seven thousand, three hundred forty".