408884 has 24 divisors (see below), whose sum is σ = 866880. Its totient is φ = 164736.

The previous prime is 408869. The next prime is 408911. The reversal of 408884 is 488804.

It is a super-2 number, since 2×408884² = 334372250912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 408884.

It is a congruent number.

It is an unprimeable number.

408884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (36120).

2⁴⁰⁸⁸⁸⁴ 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 408884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433440).

408884 is an abundant number, since it is smaller than the sum of its proper divisors (457996).

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

408884 is a wasteful number, since it uses less digits than its factorization.

408884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 408884 is about 639.4403803327. The cubic root of 408884 is about 74.2221229529. Note that the first 3 decimals are identical.

The spelling of 408884 in words is "four hundred eight thousand, eight hundred eighty-four".