48485280 has 96 divisors (see below), whose sum is σ = 154695744. Its totient is φ = 12763136.

The previous prime is 48485263. The next prime is 48485291. The reversal of 48485280 is 8258484.

48485280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 39232 + ... + 40448.

It is an arithmetic number, because the mean of its divisors is an integer number (1611414).

Almost surely, 2^48485280 is an apocalyptic number.

48485280 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 48485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77347872).

48485280 is an abundant number, since it is smaller than the sum of its proper divisors (106210464).

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

48485280 is a wasteful number, since it uses less digits than its factorization.

48485280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 48485280 is about 6963.1372239817. The cubic root of 48485280 is about 364.6447535016.

The spelling of 48485280 in words is "forty-eight million, four hundred eighty-five thousand, two hundred eighty".