205350320 has 40 divisors (see below), whose sum is σ = 545646624. Its totient is φ = 70405632.

The previous prime is 205350317. The next prime is 205350359. The reversal of 205350320 is 23053502.

205350320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 205350292 and 205350301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182789 + ... + 183908.

Almost surely, 2^205350320 is an apocalyptic number.

205350320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205350320 is an abundant number, since it is smaller than the sum of its proper divisors (340296304).

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

205350320 is a wasteful number, since it uses less digits than its factorization.

205350320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366717 (or 366711 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 205350320 is about 14330.0495463205. The cubic root of 205350320 is about 589.9725353489.

The spelling of 205350320 in words is "two hundred five million, three hundred fifty thousand, three hundred twenty".