48336480 has 192 divisors, whose sum is σ = 172730880. Its totient is φ = 12621312.

The previous prime is 48336451. The next prime is 48336481. The reversal of 48336480 is 8463384.

48336480 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 648 + 0 = 666.

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 (48336481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289357 + ... + 289523.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 2^48336480 is an apocalyptic number.

48336480 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 48336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

48336480 is an abundant number, since it is smaller than the sum of its proper divisors (124394400).

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

48336480 is a wasteful number, since it uses less digits than its factorization.

48336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48336480 is about 6952.4441745332. Note that the first 3 decimals coincide. The cubic root of 48336480 is about 364.2713429822.

It can be divided in two parts, 483 and 36480, that added together give a palindrome (36963).

The spelling of 48336480 in words is "forty-eight million, three hundred thirty-six thousand, four hundred eighty".