205380 has 72 divisors (see below), whose sum is σ = 716352. Its totient is φ = 46656.
The previous prime is 205357. The next prime is 205391. The reversal of 205380 is 83502.
It is a Cunningham number, because it is equal to 593+1.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179 + ... + 1341.
2205380 is an apocalyptic number.
205380 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 205380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358176).
205380 is an abundant number, since it is smaller than the sum of its proper divisors (510972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205380 is a wasteful number, since it uses less digits than its factorization.
205380 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 185 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 205380 is about 453.1887024188. The cubic root of 205380 is about 59.0000957578. Note that the first 4 decimals are identical.
Adding to 205380 its reverse (83502), we get a palindrome (288882).
It can be divided in two parts, 205 and 380, that added together give a palindrome (585).
The spelling of 205380 in words is "two hundred five thousand, three hundred eighty".
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