48480768 has 200 divisors, whose sum is σ = 166364352. Its totient is φ = 13768704.

The previous prime is 48480763. The next prime is 48480781. The reversal of 48480768 is 86708484.

It is not an unprimeable number, because it can be changed into a prime (48480763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290221 + ... + 290387.

Almost surely, 2^48480768 is an apocalyptic number.

48480768 is a gapful number since it is divisible by the number (48) 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 48480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83182176).

48480768 is an abundant number, since it is smaller than the sum of its proper divisors (117883584).

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

48480768 is an equidigital number, since it uses as much as digits as its factorization.

48480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 48480768 is about 6962.8132245523. The cubic root of 48480768 is about 364.6334419711.

The spelling of 48480768 in words is "forty-eight million, four hundred eighty thousand, seven hundred sixty-eight".