384408 has 48 divisors (see below), whose sum is σ = 1099800. Its totient is φ = 120960.

The previous prime is 384407. The next prime is 384437. The reversal of 384408 is 804483.

384408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228 + ... + 1508.

2³⁸⁴⁴⁰⁸ is an apocalyptic number.

384408 is a gapful number since it is divisible by the number (38) 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 384408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549900).

384408 is an abundant number, since it is smaller than the sum of its proper divisors (715392).

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

384408 is a wasteful number, since it uses less digits than its factorization.

384408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 384408 is about 620.0064515793. The cubic root of 384408 is about 72.7105571432.

The spelling of 384408 in words is "three hundred eighty-four thousand, four hundred eight".