6484400 has 120 divisors (see below), whose sum is σ = 17759280. Its totient is φ = 2257920.

The previous prime is 6484397. The next prime is 6484403. The reversal of 6484400 is 44846.

It is an interprime number because it is at equal distance from previous prime (6484397) and next prime (6484403).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 6484400.

It is not an unprimeable number, because it can be changed into a prime (6484403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150779 + ... + 150821.

It is an arithmetic number, because the mean of its divisors is an integer number (147994).

Almost surely, 2^6484400 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 6484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879640).

6484400 is an abundant number, since it is smaller than the sum of its proper divisors (11274880).

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

6484400 is a wasteful number, since it uses less digits than its factorization.

6484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 6484400 is about 2546.4485072351. The cubic root of 6484400 is about 186.4761377947.

The spelling of 6484400 in words is "six million, four hundred eighty-four thousand, four hundred".