6441504 has 48 divisors (see below), whose sum is σ = 17908128. Its totient is φ = 2020352.

The previous prime is 6441499. The next prime is 6441511. The reversal of 6441504 is 4051446.

6441504 = 842² + 843² + ... + 850².

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 342 + ... + 3605.

It is an arithmetic number, because the mean of its divisors is an integer number (373086).

Almost surely, 2^6441504 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 6441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8954064).

6441504 is an abundant number, since it is smaller than the sum of its proper divisors (11466624).

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

6441504 is a wasteful number, since it uses less digits than its factorization.

6441504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 6441504 is about 2538.0118203034. The cubic root of 6441504 is about 186.0640316020.

The spelling of 6441504 in words is "six million, four hundred forty-one thousand, five hundred four".