6424200 has 144 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 1653120.

The previous prime is 6424193. The next prime is 6424217. The reversal of 6424200 is 24246.

6424200 is a `hidden beast` number, since 642 + 4 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77359 + ... + 77441.

It is an arithmetic number, because the mean of its divisors is an integer number (155155).

Almost surely, 2^6424200 is an apocalyptic number.

6424200 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 6424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

6424200 is an abundant number, since it is smaller than the sum of its proper divisors (15918120).

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

6424200 is a wasteful number, since it uses less digits than its factorization.

6424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

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

The square root of 6424200 is about 2534.6005602461. The cubic root of 6424200 is about 185.8972724452.

Adding to 6424200 its reverse (24246), we get a palindrome (6448446).

The spelling of 6424200 in words is "six million, four hundred twenty-four thousand, two hundred".