384045648 has 160 divisors (see below), whose sum is σ = 1175924736. Its totient is φ = 105736704.

The previous prime is 384045643. The next prime is 384045653. The reversal of 384045648 is 846540483.

It is an interprime number because it is at equal distance from previous prime (384045643) and next prime (384045653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384045643) 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, 1310590 + ... + 1310882.

Almost surely, 2^384045648 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 384045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587962368).

384045648 is an abundant number, since it is smaller than the sum of its proper divisors (791879088).

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

384045648 is a wasteful number, since it uses less digits than its factorization.

384045648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 384045648 is about 19597.0826400258. The cubic root of 384045648 is about 726.8770373531.

The spelling of 384045648 in words is "three hundred eighty-four million, forty-five thousand, six hundred forty-eight".