6410400 has 72 divisors (see below), whose sum is σ = 20873664. Its totient is φ = 1708800.

The previous prime is 6410357. The next prime is 6410401. The reversal of 6410400 is 40146.

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 6410400.

It is not an unprimeable number, because it can be changed into a prime (6410401) 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, 1065 + ... + 3735.

It is an arithmetic number, because the mean of its divisors is an integer number (289912).

Almost surely, 2^6410400 is an apocalyptic number.

6410400 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 6410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436832).

6410400 is an abundant number, since it is smaller than the sum of its proper divisors (14463264).

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

6410400 is a wasteful number, since it uses less digits than its factorization.

6410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2681 counting only the distinct ones).

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

The square root of 6410400 is about 2531.8767742526. The cubic root of 6410400 is about 185.7640666775.

Adding to 6410400 its reverse (40146), we get a palindrome (6450546).

The spelling of 6410400 in words is "six million, four hundred ten thousand, four hundred".