6444000 has 144 divisors (see below), whose sum is σ = 22997520. Its totient is φ = 1708800.

The previous prime is 6443999. The next prime is 6444017. The reversal of 6444000 is 4446.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35911 + ... + 36089.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^6444000 is an apocalyptic number.

6444000 is a gapful number since it is divisible by the number (60) 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 6444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498760).

6444000 is an abundant number, since it is smaller than the sum of its proper divisors (16553520).

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

6444000 is a wasteful number, since it uses less digits than its factorization.

6444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6444000 is about 2538.5034961567. The cubic root of 6444000 is about 186.0880609721.

Adding to 6444000 its reverse (4446), we get a palindrome (6448446).

The spelling of 6444000 in words is "six million, four hundred forty-four thousand".