6448464 has 160 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 1837440.

The previous prime is 6448451. The next prime is 6448483. The reversal of 6448464 is 4648446.

6448464 is a `hidden beast` number, since 644 + 8 + 4 + 6 + 4 = 666.

It is a super-3 number, since 3×6448464³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109267 + ... + 109325.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^6448464 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 6448464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

6448464 is an abundant number, since it is smaller than the sum of its proper divisors (14978736).

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

6448464 is a wasteful number, since it uses less digits than its factorization.

6448464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 6448464 is about 2539.3826021299. The cubic root of 6448464 is about 186.1310211087.

Subtracting from 6448464 its product of digits (73728), we obtain a palindrome (6374736).

The spelling of 6448464 in words is "six million, four hundred forty-eight thousand, four hundred sixty-four".