384562944 has 288 divisors, whose sum is σ = 1236211200. Its totient is φ = 117596160.

The previous prime is 384562943. The next prime is 384562949. The reversal of 384562944 is 449265483.

384562944 is a `hidden beast` number, since 3 + 84 + 562 + 9 + 4 + 4 = 666.

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

Its product of digits (829440) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 384562944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384562943) 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, 6517987 + ... + 6518045.

It is an arithmetic number, because the mean of its divisors is an integer number (4292400).

Almost surely, 2^384562944 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 384562944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618105600).

384562944 is an abundant number, since it is smaller than the sum of its proper divisors (851648256).

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

384562944 is a wasteful number, since it uses less digits than its factorization.

384562944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 384562944 is about 19610.2764896368. The cubic root of 384562944 is about 727.2032502115.

The spelling of 384562944 in words is "three hundred eighty-four million, five hundred sixty-two thousand, nine hundred forty-four".