6446000 has 80 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 2336000.

The previous prime is 6445993. The next prime is 6446017. The reversal of 6446000 is 6446.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21854 + ... + 22146.

Almost surely, 2^6446000 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 6446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

6446000 is an abundant number, since it is smaller than the sum of its proper divisors (10615408).

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

6446000 is a wasteful number, since it uses less digits than its factorization.

6446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6446000 is about 2538.8973984783. The cubic root of 6446000 is about 186.1073107975.

6446000 divided by its reverse (6446) gives a cube (1000 = 10³).

It can be divided in two parts, 64 and 46000, that added together give a palindrome (46064).

The spelling of 6446000 in words is "six million, four hundred forty-six thousand".