48478080 has 128 divisors (see below), whose sum is σ = 176647680. Its totient is φ = 11077632.

The previous prime is 48478069. The next prime is 48478099. The reversal of 48478080 is 8087484.

48478080 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 (128).

It is a congruent number.

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, 11637 + ... + 15243.

It is an arithmetic number, because the mean of its divisors is an integer number (1380060).

Almost surely, 2^48478080 is an apocalyptic number.

48478080 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 48478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88323840).

48478080 is an abundant number, since it is smaller than the sum of its proper divisors (128169600).

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

48478080 is a wasteful number, since it uses less digits than its factorization.

48478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48478080 is about 6962.6201964490. The cubic root of 48478080 is about 364.6267028534.

The spelling of 48478080 in words is "forty-eight million, four hundred seventy-eight thousand, eighty".