48744480 has 96 divisors (see below), whose sum is σ = 154695744. Its totient is φ = 12901376.

The previous prime is 48744469. The next prime is 48744511. The reversal of 48744480 is 8444784.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82747 + ... + 83333.

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

Almost surely, 2^48744480 is an apocalyptic number.

48744480 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 48744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77347872).

48744480 is an abundant number, since it is smaller than the sum of its proper divisors (105951264).

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

48744480 is a wasteful number, since it uses less digits than its factorization.

48744480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 48744480 is about 6981.7247152835. The cubic root of 48744480 is about 365.2933901784.

The spelling of 48744480 in words is "forty-eight million, seven hundred forty-four thousand, four hundred eighty".