384238404 has 135 divisors (see below), whose sum is σ = 1109425135. Its totient is φ = 116435880.

The previous prime is 384238343. The next prime is 384238409. The reversal of 384238404 is 404832483.

The square root of 384238404 is 19602.

It is a perfect power (a square), and thus also a powerful number.

384238404 is a `hidden beast` number, since 384 + 238 + 40 + 4 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=99.

It is a super-2 number, since 2×384238404² = 295278302216934432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384238409) 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 44 ways as a sum of consecutive naturals, for example, 34930759 + ... + 34930769.

Almost surely, 2^384238404 is an apocalyptic number.

384238404 is the 19602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384238404

384238404 is an abundant number, since it is smaller than the sum of its proper divisors (725186731).

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

384238404 is an frugal number, since it uses more digits than its factorization.

384238404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The cubic root of 384238404 is about 726.9986257429.

Multiplying 384238404 by its sum of digits (36), we get a square (13832582544 = 117612²).

384238404 divided by its sum of digits (36) gives a square (10673289 = 3267²).

The spelling of 384238404 in words is "three hundred eighty-four million, two hundred thirty-eight thousand, four hundred four".