384097792 has 120 divisors (see below), whose sum is σ = 871645104. Its totient is φ = 168689664.

The previous prime is 384097789. The next prime is 384097817. The reversal of 384097792 is 297790483.

It is a super-2 number, since 2×384097792² = 295062227638550528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990048 + ... + 1990240.

Almost surely, 2^384097792 is an apocalyptic number.

384097792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435822552).

384097792 is an abundant number, since it is smaller than the sum of its proper divisors (487547312).

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

384097792 is a wasteful number, since it uses less digits than its factorization.

384097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 384097792 is about 19598.4129969750. The cubic root of 384097792 is about 726.9099332351.

The spelling of 384097792 in words is "three hundred eighty-four million, ninety-seven thousand, seven hundred ninety-two".