205761438 has 128 divisors (see below), whose sum is σ = 513216000. Its totient is φ = 60802560.

The previous prime is 205761433. The next prime is 205761443. The reversal of 205761438 is 834167502.

205761438 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 614 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (205761433) and next prime (205761443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205761433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1570633 + ... + 1570763.

It is an arithmetic number, because the mean of its divisors is an integer number (4009500).

Almost surely, 2^205761438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205761438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256608000).

205761438 is an abundant number, since it is smaller than the sum of its proper divisors (307454562).

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

205761438 is a wasteful number, since it uses less digits than its factorization.

205761438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 205761438 is about 14344.3869858562. The cubic root of 205761438 is about 590.3659876136.

The spelling of 205761438 in words is "two hundred five million, seven hundred sixty-one thousand, four hundred thirty-eight".