205689468 has 48 divisors (see below), whose sum is σ = 494426240. Its totient is φ = 66515904.

The previous prime is 205689461. The next prime is 205689469. The reversal of 205689468 is 864986502.

It is a happy number.

It is a super-3 number, since 3×205689468³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205689461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79743 + ... + 82281.

Almost surely, 2^205689468 is an apocalyptic number.

It is an amenable number.

205689468 is an abundant number, since it is smaller than the sum of its proper divisors (288736772).

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

205689468 is a wasteful number, since it uses less digits than its factorization.

205689468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 205689468 is about 14341.8781196885. The cubic root of 205689468 is about 590.2971480304.

The spelling of 205689468 in words is "two hundred five million, six hundred eighty-nine thousand, four hundred sixty-eight".