48819360 has 192 divisors, whose sum is σ = 166561920. Its totient is φ = 11980800.

The previous prime is 48819343. The next prime is 48819361. The reversal of 48819360 is 6391884.

It is not an unprimeable number, because it can be changed into a prime (48819361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483310 + ... + 483410.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^48819360 is an apocalyptic number.

48819360 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 48819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280960).

48819360 is an abundant number, since it is smaller than the sum of its proper divisors (117742560).

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

48819360 is a wasteful number, since it uses less digits than its factorization.

48819360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 48819360 is about 6987.0852291925. The cubic root of 48819360 is about 365.4803458747.

It can be divided in two parts, 4881 and 9360, that added together give a palindrome (14241).

The spelling of 48819360 in words is "forty-eight million, eight hundred nineteen thousand, three hundred sixty".