48478320 has 120 divisors (see below), whose sum is σ = 177635952. Its totient is φ = 11750400.

The previous prime is 48478301. The next prime is 48478321. The reversal of 48478320 is 2387484.

48478320 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48478321) 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 23 ways as a sum of consecutive naturals, for example, 4860 + ... + 10980.

Almost surely, 2^48478320 is an apocalyptic number.

48478320 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 48478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88817976).

48478320 is an abundant number, since it is smaller than the sum of its proper divisors (129157632).

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

48478320 is a wasteful number, since it uses less digits than its factorization.

48478320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48478320 is about 6962.6374313187. The cubic root of 48478320 is about 364.6273045705.

The spelling of 48478320 in words is "forty-eight million, four hundred seventy-eight thousand, three hundred twenty".