384298304 has 56 divisors (see below), whose sum is σ = 827410080. Its totient is φ = 176039424.

The previous prime is 384298301. The next prime is 384298307. The reversal of 384298304 is 403892483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384298301) and next prime (384298307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384298301) 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, 113987 + ... + 117309.

It is an arithmetic number, because the mean of its divisors is an integer number (14775180).

Almost surely, 2^384298304 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 384298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413705040).

384298304 is an abundant number, since it is smaller than the sum of its proper divisors (443111776).

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

384298304 is a wasteful number, since it uses less digits than its factorization.

384298304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 384298304 is about 19603.5278457731. The cubic root of 384298304 is about 727.0364017300.

The spelling of 384298304 in words is "three hundred eighty-four million, two hundred ninety-eight thousand, three hundred four".