6401400 has 96 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 1663360.

The previous prime is 6401399. The next prime is 6401411. The reversal of 6401400 is 41046.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6401400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28087 + ... + 28313.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 2^6401400 is an apocalyptic number.

6401400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

6401400 is an abundant number, since it is smaller than the sum of its proper divisors (13954440).

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

6401400 is a wasteful number, since it uses less digits than its factorization.

6401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 6401400 is about 2530.0988122996. The cubic root of 6401400 is about 185.6770903249.

Adding to 6401400 its reverse (41046), we get a palindrome (6442446).

The spelling of 6401400 in words is "six million, four hundred one thousand, four hundred".