205381580 has 24 divisors (see below), whose sum is σ = 432280800. Its totient is φ = 81966080.

The previous prime is 205381549. The next prime is 205381597. The reversal of 205381580 is 85183502.

It is a happy number.

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, 2456 + ... + 20415.

It is an arithmetic number, because the mean of its divisors is an integer number (18011700).

Almost surely, 2^205381580 is an apocalyptic number.

205381580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205381580 is an abundant number, since it is smaller than the sum of its proper divisors (226899220).

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

205381580 is a wasteful number, since it uses less digits than its factorization.

205381580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23329 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 205381580 is about 14331.1402198150. The cubic root of 205381580 is about 590.0024705441.

The spelling of 205381580 in words is "two hundred five million, three hundred eighty-one thousand, five hundred eighty".