384434176 has 72 divisors (see below), whose sum is σ = 880800480. Its totient is φ = 164364288.

The previous prime is 384434161. The next prime is 384434203. The reversal of 384434176 is 671434483.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917295 + ... + 917713.

It is an arithmetic number, because the mean of its divisors is an integer number (12233340).

Almost surely, 2^384434176 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 384434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440400240).

384434176 is an abundant number, since it is smaller than the sum of its proper divisors (496366304).

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

384434176 is an frugal number, since it uses more digits than its factorization.

384434176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 428 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 384434176 is about 19606.9930381994. The cubic root of 384434176 is about 727.1220749768.

The spelling of 384434176 in words is "three hundred eighty-four million, four hundred thirty-four thousand, one hundred seventy-six".