6442200 has 96 divisors (see below), whose sum is σ = 22208400. Its totient is φ = 1716480.

The previous prime is 6442169. The next prime is 6442223. The reversal of 6442200 is 22446.

6442200 is a `hidden beast` number, since 644 + 2 + 20 + 0 = 666.

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

It is a nialpdrome in base 10.

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, 4804 + ... + 5996.

Almost surely, 2^6442200 is an apocalyptic number.

6442200 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 6442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104200).

6442200 is an abundant number, since it is smaller than the sum of its proper divisors (15766200).

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

6442200 is a wasteful number, since it uses less digits than its factorization.

6442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6442200 is about 2538.1489318005. The cubic root of 6442200 is about 186.0707327235.

Adding to 6442200 its reverse (22446), we get a palindrome (6464646).

The spelling of 6442200 in words is "six million, four hundred forty-two thousand, two hundred".