205380180 has 144 divisors (see below), whose sum is σ = 643930560. Its totient is φ = 52962816.

The previous prime is 205380151. The next prime is 205380181. The reversal of 205380180 is 81083502.

It is a happy number.

205380180 is a `hidden beast` number, since 205 + 380 + 1 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205380181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881344 + ... + 881576.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2^205380180 is an apocalyptic number.

205380180 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 205380180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

205380180 is an abundant number, since it is smaller than the sum of its proper divisors (438550380).

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

205380180 is a wasteful number, since it uses less digits than its factorization.

205380180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 205380180 is about 14331.0913750489. The cubic root of 205380180 is about 590.0011299413.

The spelling of 205380180 in words is "two hundred five million, three hundred eighty thousand, one hundred eighty".