48684384 has 288 divisors, whose sum is σ = 176117760. Its totient is φ = 12441600.

The previous prime is 48684373. The next prime is 48684401. The reversal of 48684384 is 48348684.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187404 + ... + 1187444.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^48684384 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 48684384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

48684384 is an abundant number, since it is smaller than the sum of its proper divisors (127433376).

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

48684384 is a wasteful number, since it uses less digits than its factorization.

48684384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

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

The square root of 48684384 is about 6977.4195803320. The cubic root of 48684384 is about 365.1432077070.

The spelling of 48684384 in words is "forty-eight million, six hundred eighty-four thousand, three hundred eighty-four".