384759648 has 288 divisors, whose sum is σ = 1377020736. Its totient is φ = 99201024.

The previous prime is 384759643. The next prime is 384759649. The reversal of 384759648 is 846957483.

384759648 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 596 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 384759594 and 384759603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384759643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388886 + ... + 1389162.

It is an arithmetic number, because the mean of its divisors is an integer number (4781322).

Almost surely, 2^384759648 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 384759648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688510368).

384759648 is an abundant number, since it is smaller than the sum of its proper divisors (992261088).

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

384759648 is a wasteful number, since it uses less digits than its factorization.

384759648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 384759648 is about 19615.2911780580. The cubic root of 384759648 is about 727.3272172658.

The spelling of 384759648 in words is "three hundred eighty-four million, seven hundred fifty-nine thousand, six hundred forty-eight".