205339848 has 64 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 58115136.

The previous prime is 205339843. The next prime is 205339867. The reversal of 205339848 is 848933502.

205339848 is nontrivially palindromic in base 11.

205339848 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (205339843) 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, 12265 + ... + 23687.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^205339848 is an apocalyptic number.

205339848 is a gapful number since it is divisible by the number (28) 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 205339848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

205339848 is an abundant number, since it is smaller than the sum of its proper divisors (386880312).

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

205339848 is a wasteful number, since it uses less digits than its factorization.

205339848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11546 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 205339848 is about 14329.6841556260. The cubic root of 205339848 is about 589.9625064750.

It can be divided in two parts, 20533 and 9848, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 205339848 in words is "two hundred five million, three hundred thirty-nine thousand, eight hundred forty-eight".