384992424 has 96 divisors (see below), whose sum is σ = 1069384680. Its totient is φ = 125079552.

The previous prime is 384992393. The next prime is 384992431. The reversal of 384992424 is 424299483.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 240560100 + 144432324 = 15510^2 + 12018^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 384992424.

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 23 ways as a sum of consecutive naturals, for example, 888912 + ... + 889344.

Almost surely, 2^384992424 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 384992424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534692340).

384992424 is an abundant number, since it is smaller than the sum of its proper divisors (684392256).

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

384992424 is a wasteful number, since it uses less digits than its factorization.

384992424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 724 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 384992424 is about 19621.2238150427. The cubic root of 384992424 is about 727.4738630919.

The spelling of 384992424 in words is "three hundred eighty-four million, nine hundred ninety-two thousand, four hundred twenty-four".