6449280 has 64 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 1719296.

The previous prime is 6449257. The next prime is 6449309. The reversal of 6449280 is 829446.

It is a tau number, because it is divible by the number of its divisors (64).

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, 241 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^6449280 is an apocalyptic number.

6449280 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 6449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

6449280 is an abundant number, since it is smaller than the sum of its proper divisors (14113920).

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

6449280 is a wasteful number, since it uses less digits than its factorization.

6449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6449280 is about 2539.5432660225. The cubic root of 6449280 is about 186.1388718934.

The spelling of 6449280 in words is "six million, four hundred forty-nine thousand, two hundred eighty".