381408 has 48 divisors (see below), whose sum is σ = 1043280. Its totient is φ = 121856.

The previous prime is 381401. The next prime is 381413. The reversal of 381408 is 804183.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2716 + ... + 2852.

It is an arithmetic number, because the mean of its divisors is an integer number (21735).

2³⁸¹⁴⁰⁸ 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 381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521640).

381408 is an abundant number, since it is smaller than the sum of its proper divisors (661872).

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

381408 is a wasteful number, since it uses less digits than its factorization.

381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 381408 is about 617.5823831684. The cubic root of 381408 is about 72.5209135069.

The spelling of 381408 in words is "three hundred eighty-one thousand, four hundred eight".