48984320 has 216 divisors, whose sum is σ = 150994368. Its totient is φ = 15052800.

The previous prime is 48984317. The next prime is 48984329. The reversal of 48984320 is 2348984.

It is not an unprimeable number, because it can be changed into a prime (48984329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689885 + ... + 689955.

It is an arithmetic number, because the mean of its divisors is an integer number (699048).

Almost surely, 2^48984320 is an apocalyptic number.

48984320 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 48984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497184).

48984320 is an abundant number, since it is smaller than the sum of its proper divisors (102010048).

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

48984320 is a wasteful number, since it uses less digits than its factorization.

48984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 48984320 is about 6998.8799103857. The cubic root of 48984320 is about 365.8915342438.

The spelling of 48984320 in words is "forty-eight million, nine hundred eighty-four thousand, three hundred twenty".