205057248 has 144 divisors (see below), whose sum is σ = 600606720. Its totient is φ = 61205760.

The previous prime is 205057243. The next prime is 205057309. The reversal of 205057248 is 842750502.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205057243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1475163 + ... + 1475301.

It is an arithmetic number, because the mean of its divisors is an integer number (4170880).

Almost surely, 2^205057248 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 205057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300303360).

205057248 is an abundant number, since it is smaller than the sum of its proper divisors (395549472).

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

205057248 is a wasteful number, since it uses less digits than its factorization.

205057248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 205057248 is about 14319.8201106019. The cubic root of 205057248 is about 589.6917359303.

The spelling of 205057248 in words is "two hundred five million, fifty-seven thousand, two hundred forty-eight".