884448 has 72 divisors (see below), whose sum is σ = 2614248. Its totient is φ = 283392.

The previous prime is 884441. The next prime is 884453. The reversal of 884448 is 844488.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 884448.

It is not an unprimeable number, because it can be changed into a prime (884441) by changing a digit.

884448 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 11 ways as a sum of consecutive naturals, for example, 10615 + ... + 10697.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2⁸⁸⁴⁴⁴⁸ 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 884448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307124).

884448 is an abundant number, since it is smaller than the sum of its proper divisors (1729800).

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

884448 is a wasteful number, since it uses less digits than its factorization.

884448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 884448 is about 940.4509556590. The cubic root of 884448 is about 95.9895822028.

The spelling of 884448 in words is "eight hundred eighty-four thousand, four hundred forty-eight".