204248160 has 288 divisors, whose sum is σ = 741817440. Its totient is φ = 51093504.

The previous prime is 204248141. The next prime is 204248173. The reversal of 204248160 is 61842402.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2797884 + ... + 2797956.

It is an arithmetic number, because the mean of its divisors is an integer number (2575755).

Almost surely, 2^204248160 is an apocalyptic number.

204248160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370908720).

204248160 is an abundant number, since it is smaller than the sum of its proper divisors (537569280).

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

204248160 is a wasteful number, since it uses less digits than its factorization.

204248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 204248160 is about 14291.5415543600. The cubic root of 204248160 is about 588.9151375244.

The spelling of 204248160 in words is "two hundred four million, two hundred forty-eight thousand, one hundred sixty".