384715008 has 90 divisors (see below), whose sum is σ = 1147212374. Its totient is φ = 128231424.

The previous prime is 384715007. The next prime is 384715027. The reversal of 384715008 is 800517483.

384715008 is a `hidden beast` number, since 3 + 84 + 71 + 500 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241864704 + 142850304 = 15552^2 + 11952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (384715003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11460 + ... + 30012.

Almost surely, 2^384715008 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 384715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573606187).

384715008 is an abundant number, since it is smaller than the sum of its proper divisors (762497366).

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

384715008 is an equidigital number, since it uses as much as digits as its factorization.

384715008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18581 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 384715008 is about 19614.1532572783. The cubic root of 384715008 is about 727.2990878930.

The spelling of 384715008 in words is "three hundred eighty-four million, seven hundred fifteen thousand, eight".