6441500 has 48 divisors (see below), whose sum is σ = 15165696. Its totient is φ = 2376000.

The previous prime is 6441499. The next prime is 6441511. The reversal of 6441500 is 51446.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6005 + ... + 6995.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 2^6441500 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 6441500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582848).

6441500 is an abundant number, since it is smaller than the sum of its proper divisors (8724196).

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

6441500 is a wasteful number, since it uses less digits than its factorization.

6441500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 6441500 is about 2538.0110322849. The cubic root of 6441500 is about 186.0639930884.

Adding to 6441500 its reverse (51446), we get a palindrome (6492946).

The spelling of 6441500 in words is "six million, four hundred forty-one thousand, five hundred".