48960408 has 192 divisors, whose sum is σ = 157593600. Its totient is φ = 12579840.

The previous prime is 48960407. The next prime is 48960427. The reversal of 48960408 is 80406984.

48960408 is nontrivially palindromic in base 11.

48960408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48960407) 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 47 ways as a sum of consecutive naturals, for example, 619713 + ... + 619791.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 2^48960408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48960408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

48960408 is an abundant number, since it is smaller than the sum of its proper divisors (108633192).

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

48960408 is a wasteful number, since it uses less digits than its factorization.

48960408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 48960408 is about 6997.1714285131. The cubic root of 48960408 is about 365.8319871452.

The spelling of 48960408 in words is "forty-eight million, nine hundred sixty thousand, four hundred eight".