48885984 has 192 divisors, whose sum is σ = 166924800. Its totient is φ = 13630464.

The previous prime is 48885979. The next prime is 48885997. The reversal of 48885984 is 48958884.

48885984 is a `hidden beast` number, since 48 + 8 + 8 + 598 + 4 = 666.

48885984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48885984.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 356764 + ... + 356900.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^48885984 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 48885984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

48885984 is an abundant number, since it is smaller than the sum of its proper divisors (118038816).

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

48885984 is a wasteful number, since it uses less digits than its factorization.

48885984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 48885984 is about 6991.8512569991. The cubic root of 48885984 is about 365.6465278580.

Subtracting 48885984 from its reverse (48958884), we obtain a square (72900 = 270²).

The spelling of 48885984 in words is "forty-eight million, eight hundred eighty-five thousand, nine hundred eighty-four".