6468400 has 60 divisors (see below), whose sum is σ = 15791152. Its totient is φ = 2545920.

The previous prime is 6468391. The next prime is 6468401. The reversal of 6468400 is 48646.

6468400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6468401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41122 + ... + 41278.

Almost surely, 2^6468400 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 6468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895576).

6468400 is an abundant number, since it is smaller than the sum of its proper divisors (9322752).

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

6468400 is a wasteful number, since it uses less digits than its factorization.

6468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6468400 is about 2543.3049364950. The cubic root of 6468400 is about 186.3226373135.

The spelling of 6468400 in words is "six million, four hundred sixty-eight thousand, four hundred".