48480384 has 64 divisors (see below), whose sum is σ = 129646080. Its totient is φ = 16051200.

The previous prime is 48480371. The next prime is 48480391. The reversal of 48480384 is 48308484.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73014 + ... + 73674.

It is an arithmetic number, because the mean of its divisors is an integer number (2025720).

Almost surely, 2^48480384 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 48480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64823040).

48480384 is an abundant number, since it is smaller than the sum of its proper divisors (81165696).

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

48480384 is a wasteful number, since it uses less digits than its factorization.

48480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 48480384 is about 6962.7856494366. The cubic root of 48480384 is about 364.6324792553.

The spelling of 48480384 in words is "forty-eight million, four hundred eighty thousand, three hundred eighty-four".