205290080 has 24 divisors (see below), whose sum is σ = 484998192. Its totient is φ = 82115968.

The previous prime is 205290067. The next prime is 205290143. The reversal of 205290080 is 80092502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 641372 + ... + 641691.

It is an arithmetic number, because the mean of its divisors is an integer number (20208258).

Almost surely, 2^205290080 is an apocalyptic number.

205290080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205290080 is an abundant number, since it is smaller than the sum of its proper divisors (279708112).

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

205290080 is a wasteful number, since it uses less digits than its factorization.

205290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283078 (or 1283070 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 205290080 is about 14327.9475152584. The cubic root of 205290080 is about 589.9148397626.

The spelling of 205290080 in words is "two hundred five million, two hundred ninety thousand, eighty".