205232940 has 216 divisors, whose sum is σ = 711656400. Its totient is φ = 49610880.

The previous prime is 205232917. The next prime is 205232953. The reversal of 205232940 is 49232502.

It is a super-2 number, since 2×205232940² = 84241119322087200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 587886 + ... + 588234.

Almost surely, 2^205232940 is an apocalyptic number.

205232940 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 205232940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355828200).

205232940 is an abundant number, since it is smaller than the sum of its proper divisors (506423460).

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

205232940 is a wasteful number, since it uses less digits than its factorization.

205232940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205232940 is about 14325.9533714165. The cubic root of 205232940 is about 589.8601028073.

The spelling of 205232940 in words is "two hundred five million, two hundred thirty-two thousand, nine hundred forty".