48480160 has 48 divisors (see below), whose sum is σ = 116715816. Its totient is φ = 19022848.

The previous prime is 48480151. The next prime is 48480161. The reversal of 48480160 is 6108484.

It can be written as a sum of positive squares in 4 ways, for example, as 44036496 + 4443664 = 6636^2 + 2108^2 .

It is not an unprimeable number, because it can be changed into a prime (48480161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5622 + ... + 11338.

Almost surely, 2^48480160 is an apocalyptic number.

48480160 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 48480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58357908).

48480160 is an abundant number, since it is smaller than the sum of its proper divisors (68235656).

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

48480160 is a wasteful number, since it uses less digits than its factorization.

48480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 48480160 is about 6962.7695639020. The cubic root of 48480160 is about 364.6319176687.

The spelling of 48480160 in words is "forty-eight million, four hundred eighty thousand, one hundred sixty".