48784120 has 128 divisors (see below), whose sum is σ = 140175360. Its totient is φ = 14837760.

The previous prime is 48784117. The next prime is 48784121. The reversal of 48784120 is 2148784.

48784120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48784121) by changing a digit.

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, 144592 + ... + 144928.

It is an arithmetic number, because the mean of its divisors is an integer number (1095120).

Almost surely, 2^48784120 is an apocalyptic number.

48784120 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 48784120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70087680).

48784120 is an abundant number, since it is smaller than the sum of its proper divisors (91391240).

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

48784120 is a wasteful number, since it uses less digits than its factorization.

48784120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 48784120 is about 6984.5629784547. The cubic root of 48784120 is about 365.3923846803.

It can be divided in two parts, 4878 and 4120, that added together give a palindrome (8998).

The spelling of 48784120 in words is "forty-eight million, seven hundred eighty-four thousand, one hundred twenty".