384399 has 16 divisors (see below), whose sum is σ = 595200. Its totient is φ = 244728.

The previous prime is 384383. The next prime is 384403. The reversal of 384399 is 993483.

It is a Cunningham number, because it is equal to 620²-1.

It is not a de Polignac number, because 384399 - 2⁴ = 384383 is a prime.

384399 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 312 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2³⁸⁴³⁹⁹ is an apocalyptic number.

384399 is a deficient number, since it is larger than the sum of its proper divisors (210801).

384399 is a wasteful number, since it uses less digits than its factorization.

384399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 384399 is about 619.9991935479. Note that the first 3 decimals coincide. The cubic root of 384399 is about 72.7099896905.

The spelling of 384399 in words is "three hundred eighty-four thousand, three hundred ninety-nine".