6446480 has 40 divisors (see below), whose sum is σ = 15245304. Its totient is φ = 2534400.

The previous prime is 6446477. The next prime is 6446483. The reversal of 6446480 is 846446.

It is an interprime number because it is at equal distance from previous prime (6446477) and next prime (6446483).

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 5973136 = 688^2 + 2444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (6446483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4220 + ... + 5540.

Almost surely, 2^6446480 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 6446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622652).

6446480 is an abundant number, since it is smaller than the sum of its proper divisors (8798824).

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

6446480 is a wasteful number, since it uses less digits than its factorization.

6446480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 6446480 is about 2538.9919259423. The cubic root of 6446480 is about 186.1119301631. Note that the first 3 decimals are identical.

The spelling of 6446480 in words is "six million, four hundred forty-six thousand, four hundred eighty".