205431980 has 48 divisors (see below), whose sum is σ = 469252224. Its totient is φ = 75091200.

The previous prime is 205431979. The next prime is 205431991. The reversal of 205431980 is 89134502.

205431980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 22349 + ... + 30171.

It is an arithmetic number, because the mean of its divisors is an integer number (9776088).

Almost surely, 2^205431980 is an apocalyptic number.

205431980 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 205431980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234626112).

205431980 is an abundant number, since it is smaller than the sum of its proper divisors (263820244).

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

205431980 is a wasteful number, since it uses less digits than its factorization.

205431980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7946 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 205431980 is about 14332.8985205366. The cubic root of 205431980 is about 590.0507281864.

The spelling of 205431980 in words is "two hundred five million, four hundred thirty-one thousand, nine hundred eighty".