48208160 has 288 divisors, whose sum is σ = 159268032. Its totient is φ = 13547520.

The previous prime is 48208157. The next prime is 48208177. The reversal of 48208160 is 6180284.

48208160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1121099 + ... + 1121141.

It is an arithmetic number, because the mean of its divisors is an integer number (553014).

Almost surely, 2^48208160 is an apocalyptic number.

48208160 is a gapful number since it is divisible by the number (40) 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 48208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79634016).

48208160 is an abundant number, since it is smaller than the sum of its proper divisors (111059872).

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

48208160 is a wasteful number, since it uses less digits than its factorization.

48208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 48208160 is about 6943.2096324395. The cubic root of 48208160 is about 363.9487107222.

The spelling of 48208160 in words is "forty-eight million, two hundred eight thousand, one hundred sixty".