864448 has 28 divisors (see below), whose sum is σ = 1849120. Its totient is φ = 398592.

The previous prime is 864439. The next prime is 864449. The reversal of 864448 is 844468.

It is not an unprimeable number, because it can be changed into a prime (864449) by changing a digit.

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, 313 + ... + 1351.

It is an arithmetic number, because the mean of its divisors is an integer number (66040).

2⁸⁶⁴⁴⁴⁸ 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 864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924560).

864448 is an abundant number, since it is smaller than the sum of its proper divisors (984672).

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

864448 is a wasteful number, since it uses less digits than its factorization.

864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 864448 is about 929.7569574894. The cubic root of 864448 is about 95.2605222105.

The spelling of 864448 in words is "eight hundred sixty-four thousand, four hundred forty-eight".