205053824 has 32 divisors (see below), whose sum is σ = 413448840. Its totient is φ = 101286400.

The previous prime is 205053811. The next prime is 205053841. The reversal of 205053824 is 428350502.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 974 + ... + 20274.

Almost surely, 2^205053824 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 205053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206724420).

205053824 is an abundant number, since it is smaller than the sum of its proper divisors (208395016).

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

205053824 is an equidigital number, since it uses as much as digits as its factorization.

205053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19398 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 205053824 is about 14319.7005555284. The cubic root of 205053824 is about 589.6884537318.

The spelling of 205053824 in words is "two hundred five million, fifty-three thousand, eight hundred twenty-four".