384993504 has 324 divisors, whose sum is σ = 1380460536. Its totient is φ = 99677952.

The previous prime is 384993461. The next prime is 384993551. The reversal of 384993504 is 405399483.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 384993504.

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 53 ways as a sum of consecutive naturals, for example, 16738837 + ... + 16738859.

Almost surely, 2^384993504 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 384993504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690230268).

384993504 is an abundant number, since it is smaller than the sum of its proper divisors (995467032).

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

384993504 is a wasteful number, since it uses less digits than its factorization.

384993504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 384993504 is about 19621.2513362425. The cubic root of 384993504 is about 727.4745433399.

The spelling of 384993504 in words is "three hundred eighty-four million, nine hundred ninety-three thousand, five hundred four".