408384 has 42 divisors (see below), whose sum is σ = 1172210. Its totient is φ = 135936.

The previous prime is 408379. The next prime is 408389. The reversal of 408384 is 483804.

It is an interprime number because it is at equal distance from previous prime (408379) and next prime (408389).

It can be written as a sum of positive squares in only one way, i.e., 278784 + 129600 = 528^2 + 360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222 + ... + 930.

2⁴⁰⁸³⁸⁴ 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 408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586105).

408384 is an abundant number, since it is smaller than the sum of its proper divisors (763826).

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

408384 is a wasteful number, since it uses less digits than its factorization.

408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

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

The square root of 408384 is about 639.0492938733. The cubic root of 408384 is about 74.1918566681.

The spelling of 408384 in words is "four hundred eight thousand, three hundred eighty-four".