384746208 has 384 divisors, whose sum is σ = 1374879744. Its totient is φ = 91238400.

The previous prime is 384746207. The next prime is 384746233. The reversal of 384746208 is 802647483.

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

It is a self number, because there is not a number n which added to its sum of digits gives 384746208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384746203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5270460 + ... + 5270532.

It is an arithmetic number, because the mean of its divisors is an integer number (3580416).

Almost surely, 2^384746208 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 384746208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687439872).

384746208 is an abundant number, since it is smaller than the sum of its proper divisors (990133536).

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

384746208 is a wasteful number, since it uses less digits than its factorization.

384746208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 384746208 is about 19614.9485851990. The cubic root of 384746208 is about 727.3187484362.

The spelling of 384746208 in words is "three hundred eighty-four million, seven hundred forty-six thousand, two hundred eight".