6401304 has 96 divisors (see below), whose sum is σ = 21359520. Its totient is φ = 1686528.

The previous prime is 6401303. The next prime is 6401327. The reversal of 6401304 is 4031046.

6401304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6064 + ... + 7040.

It is an arithmetic number, because the mean of its divisors is an integer number (222495).

Almost surely, 2^6401304 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 6401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10679760).

6401304 is an abundant number, since it is smaller than the sum of its proper divisors (14958216).

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

6401304 is a wasteful number, since it uses less digits than its factorization.

6401304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6401304 is about 2530.0798406374. The cubic root of 6401304 is about 185.6761621379.

The spelling of 6401304 in words is "six million, four hundred one thousand, three hundred four".