204185248 has 48 divisors (see below), whose sum is σ = 433520640. Its totient is φ = 94348800.

The previous prime is 204185173. The next prime is 204185269. The reversal of 204185248 is 842581402.

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 7 ways as a sum of consecutive naturals, for example, 20833 + ... + 29023.

It is an arithmetic number, because the mean of its divisors is an integer number (9031680).

Almost surely, 2^204185248 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 204185248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

204185248 is an abundant number, since it is smaller than the sum of its proper divisors (229335392).

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

204185248 is a wasteful number, since it uses less digits than its factorization.

204185248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 204185248 is about 14289.3403626620. The cubic root of 204185248 is about 588.8546659331.

The spelling of 204185248 in words is "two hundred four million, one hundred eighty-five thousand, two hundred forty-eight".