6341400 has 144 divisors (see below), whose sum is σ = 23019360. Its totient is φ = 1555200.

The previous prime is 6341369. The next prime is 6341407. The reversal of 6341400 is 41436.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6341407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23265 + ... + 23535.

Almost surely, 2^6341400 is an apocalyptic number.

6341400 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 6341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509680).

6341400 is an abundant number, since it is smaller than the sum of its proper divisors (16677960).

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

6341400 is a wasteful number, since it uses less digits than its factorization.

6341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

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

The square root of 6341400 is about 2518.2136525720. The cubic root of 6341400 is about 185.0951543606.

Adding to 6341400 its reverse (41436), we get a palindrome (6382836).

The spelling of 6341400 in words is "six million, three hundred forty-one thousand, four hundred".