6418400 has 72 divisors (see below), whose sum is σ = 16030224. Its totient is φ = 2508800.

The previous prime is 6418397. The next prime is 6418417. The reversal of 6418400 is 48146.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56744 + ... + 56856.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 2^6418400 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 6418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015112).

6418400 is an abundant number, since it is smaller than the sum of its proper divisors (9611824).

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

6418400 is a wasteful number, since it uses less digits than its factorization.

6418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 6418400 is about 2533.4561373744. The cubic root of 6418400 is about 185.8413106744.

The spelling of 6418400 in words is "six million, four hundred eighteen thousand, four hundred".