205255320 has 64 divisors (see below), whose sum is σ = 624464640. Its totient is φ = 53961600.

The previous prime is 205255313. The next prime is 205255333. The reversal of 205255320 is 23552502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3526 + ... + 20565.

It is an arithmetic number, because the mean of its divisors is an integer number (9757260).

Almost surely, 2^205255320 is an apocalyptic number.

205255320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312232320).

205255320 is an abundant number, since it is smaller than the sum of its proper divisors (419209320).

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

205255320 is a wasteful number, since it uses less digits than its factorization.

205255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176 (or 24172 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 205255320 is about 14326.7344499715. The cubic root of 205255320 is about 589.8815428180.

The spelling of 205255320 in words is "two hundred five million, two hundred fifty-five thousand, three hundred twenty".