889408 has 28 divisors (see below), whose sum is σ = 1902460. Its totient is φ = 410112.

The previous prime is 889391. The next prime is 889411. The reversal of 889408 is 804988.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 627264 = 512^2 + 792^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

889408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (67945).

2⁸⁸⁹⁴⁰⁸ 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 889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951230).

889408 is an abundant number, since it is smaller than the sum of its proper divisors (1013052).

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

889408 is a wasteful number, since it uses less digits than its factorization.

889408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 889408 is about 943.0843016401. The cubic root of 889408 is about 96.1686849058.

The spelling of 889408 in words is "eight hundred eighty-nine thousand, four hundred eight".