6414200 has 48 divisors (see below), whose sum is σ = 16066680. Its totient is φ = 2367360.

The previous prime is 6414193. The next prime is 6414269. The reversal of 6414200 is 24146.

It is a super-2 number, since 2×6414200² = 82283923280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1367 + ... + 3833.

Almost surely, 2^6414200 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 6414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033340).

6414200 is an abundant number, since it is smaller than the sum of its proper divisors (9652480).

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

6414200 is a wasteful number, since it uses less digits than its factorization.

6414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 6414200 is about 2532.6270945404. The cubic root of 6414200 is about 185.8007655843.

Adding to 6414200 its reverse (24146), we get a palindrome (6438346).

The spelling of 6414200 in words is "six million, four hundred fourteen thousand, two hundred".