384565888 has 64 divisors (see below), whose sum is σ = 913691520. Its totient is φ = 157639680.

The previous prime is 384565877. The next prime is 384565889. The reversal of 384565888 is 888565483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (384565889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11278 + ... + 29938.

It is an arithmetic number, because the mean of its divisors is an integer number (14276430).

Almost surely, 2^384565888 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 384565888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456845760).

384565888 is an abundant number, since it is smaller than the sum of its proper divisors (529125632).

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

384565888 is a wasteful number, since it uses less digits than its factorization.

384565888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18705 (or 18693 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 55.

The square root of 384565888 is about 19610.3515521777. The cubic root of 384565888 is about 727.2051058946.

It can be divided in two parts, 38456 and 5888, that added together give a palindrome (44344).

The spelling of 384565888 in words is "three hundred eighty-four million, five hundred sixty-five thousand, eight hundred eighty-eight".