48648384 has 112 divisors (see below), whose sum is σ = 146304000. Its totient is φ = 15844608.

The previous prime is 48648361. The next prime is 48648389. The reversal of 48648384 is 48384684.

It is a super-2 number, since 2×48648384² = 4733330531622912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48648389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80917 + ... + 81515.

Almost surely, 2^48648384 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 48648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73152000).

48648384 is an abundant number, since it is smaller than the sum of its proper divisors (97655616).

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

48648384 is a wasteful number, since it uses less digits than its factorization.

48648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 48648384 is about 6974.8393529887. The cubic root of 48648384 is about 365.0531829680.

The spelling of 48648384 in words is "forty-eight million, six hundred forty-eight thousand, three hundred eighty-four".