864444 has 48 divisors (see below), whose sum is σ = 2370816. Its totient is φ = 240000.

The previous prime is 864439. The next prime is 864449. The reversal of 864444 is 444468.

864444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (864439) and next prime (864449).

It is a nialpdrome in base 10.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3319 + ... + 3569.

It is an arithmetic number, because the mean of its divisors is an integer number (49392).

2⁸⁶⁴⁴⁴⁴ is an apocalyptic number.

864444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408).

864444 is an abundant number, since it is smaller than the sum of its proper divisors (1506372).

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

864444 is a wasteful number, since it uses less digits than its factorization.

864444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 864444 is about 929.7548063871. The cubic root of 864444 is about 95.2603752795.

The spelling of 864444 in words is "eight hundred sixty-four thousand, four hundred forty-four".