6441480 has 96 divisors (see below), whose sum is σ = 21691800. Its totient is φ = 1655808.

The previous prime is 6441473. The next prime is 6441481. The reversal of 6441480 is 841446.

6441480 is a `hidden beast` number, since 644 + 14 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3392964 + 3048516 = 1842^2 + 1746^2 .

It is not an unprimeable number, because it can be changed into a prime (6441481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10132 + ... + 10748.

Almost surely, 2^6441480 is an apocalyptic number.

6441480 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 6441480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10845900).

6441480 is an abundant number, since it is smaller than the sum of its proper divisors (15250320).

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

6441480 is a wasteful number, since it uses less digits than its factorization.

6441480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6441480 is about 2538.0070921887. The cubic root of 6441480 is about 186.0638005203.

The spelling of 6441480 in words is "six million, four hundred forty-one thousand, four hundred eighty".