205328448 has 168 divisors, whose sum is σ = 671507928. Its totient is φ = 59424768.

The previous prime is 205328443. The next prime is 205328449. The reversal of 205328448 is 844823502.

205328448 is a `hidden beast` number, since 2 + 0 + 532 + 84 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32353344 + 172975104 = 5688^2 + 13152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205328443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126490 + ... + 128102.

It is an arithmetic number, because the mean of its divisors is an integer number (3997071).

Almost surely, 2^205328448 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 205328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335753964).

205328448 is an abundant number, since it is smaller than the sum of its proper divisors (466179480).

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

205328448 is a wasteful number, since it uses less digits than its factorization.

205328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 205328448 is about 14329.2863744152. The cubic root of 205328448 is about 589.9515884821.

The spelling of 205328448 in words is "two hundred five million, three hundred twenty-eight thousand, four hundred forty-eight".