205334840 has 64 divisors (see below), whose sum is σ = 496186560. Its totient is φ = 76195840.

The previous prime is 205334839. The next prime is 205334851. The reversal of 205334840 is 48433502.

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 15 ways as a sum of consecutive naturals, for example, 46154 + ... + 50406.

It is an arithmetic number, because the mean of its divisors is an integer number (7752915).

Almost surely, 2^205334840 is an apocalyptic number.

205334840 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 205334840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248093280).

205334840 is an abundant number, since it is smaller than the sum of its proper divisors (290851720).

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

205334840 is a wasteful number, since it uses less digits than its factorization.

205334840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 205334840 is about 14329.5094123979. The cubic root of 205334840 is about 589.9577102696.

The spelling of 205334840 in words is "two hundred five million, three hundred thirty-four thousand, eight hundred forty".