205468340 has 96 divisors (see below), whose sum is σ = 543691008. Its totient is φ = 63360000.

The previous prime is 205468339. The next prime is 205468357. The reversal of 205468340 is 43864502.

It is a junction number, because it is equal to n+sod(n) for n = 205468297 and 205468306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154880 + ... + 156200.

It is an arithmetic number, because the mean of its divisors is an integer number (5663448).

Almost surely, 2^205468340 is an apocalyptic number.

205468340 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 205468340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271845504).

205468340 is an abundant number, since it is smaller than the sum of its proper divisors (338222668).

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

205468340 is a wasteful number, since it uses less digits than its factorization.

205468340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 205468340 is about 14334.1668749879. The cubic root of 205468340 is about 590.0855377275.

The spelling of 205468340 in words is "two hundred five million, four hundred sixty-eight thousand, three hundred forty".