205742800 has 30 divisors (see below), whose sum is σ = 494298038. Its totient is φ = 82296960.

The previous prime is 205742783. The next prime is 205742819. The reversal of 205742800 is 8247502.

It can be written as a sum of positive squares in 3 ways, for example, as 49392784 + 156350016 = 7028^2 + 12504^2 .

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 5 ways as a sum of consecutive naturals, for example, 256779 + ... + 257578.

Almost surely, 2^205742800 is an apocalyptic number.

205742800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205742800 is an abundant number, since it is smaller than the sum of its proper divisors (288555238).

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

205742800 is a wasteful number, since it uses less digits than its factorization.

205742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514375 (or 514364 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 205742800 is about 14343.7373093626. The cubic root of 205742800 is about 590.3481618350.

The spelling of 205742800 in words is "two hundred five million, seven hundred forty-two thousand, eight hundred".