48516384 has 192 divisors, whose sum is σ = 157538304. Its totient is φ = 12773376.

The previous prime is 48516373. The next prime is 48516389. The reversal of 48516384 is 48361584.

It is a super-3 number, since 3×48516384³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48516389) 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, 664572 + ... + 664644.

It is an arithmetic number, because the mean of its divisors is an integer number (820512).

Almost surely, 2^48516384 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 48516384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78769152).

48516384 is an abundant number, since it is smaller than the sum of its proper divisors (109021920).

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

48516384 is a wasteful number, since it uses less digits than its factorization.

48516384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 48516384 is about 6965.3703419129. The cubic root of 48516384 is about 364.7227117736.

The spelling of 48516384 in words is "forty-eight million, five hundred sixteen thousand, three hundred eighty-four".