205830352 has 80 divisors (see below), whose sum is σ = 493440640. Its totient is φ = 80994816.

The previous prime is 205830347. The next prime is 205830353. The reversal of 205830352 is 253038502.

It is a super-2 number, since 2×205830352² = 84732267608887808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 205830352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205830353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542899 + ... + 543277.

It is an arithmetic number, because the mean of its divisors is an integer number (6168008).

Almost surely, 2^205830352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205830352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246720320).

205830352 is an abundant number, since it is smaller than the sum of its proper divisors (287610288).

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

205830352 is a wasteful number, since it uses less digits than its factorization.

205830352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 205830352 is about 14346.7889090207. The cubic root of 205830352 is about 590.4318890784.

Adding to 205830352 its reverse (253038502), we get a palindrome (458868854).

The spelling of 205830352 in words is "two hundred five million, eight hundred thirty thousand, three hundred fifty-two".