205460992 has 60 divisors (see below), whose sum is σ = 450197748. Its totient is φ = 92902400.

The previous prime is 205460989. The next prime is 205461013. The reversal of 205460992 is 299064502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1075617 + ... + 1075807.

Almost surely, 2^205460992 is an apocalyptic number.

205460992 is a gapful number since it is divisible by the number (22) 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 205460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225098874).

205460992 is an abundant number, since it is smaller than the sum of its proper divisors (244736756).

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

205460992 is an frugal number, since it uses more digits than its factorization.

205460992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 205460992 is about 14333.9105620204. The cubic root of 205460992 is about 590.0785033912.

The spelling of 205460992 in words is "two hundred five million, four hundred sixty thousand, nine hundred ninety-two".