6404200 has 96 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 2240000.

The previous prime is 6404191. The next prime is 6404227. The reversal of 6404200 is 24046.

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, 90165 + ... + 90235.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^6404200 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 6404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

6404200 is an abundant number, since it is smaller than the sum of its proper divisors (10469720).

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

6404200 is a wasteful number, since it uses less digits than its factorization.

6404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 6404200 is about 2530.6520898772. The cubic root of 6404200 is about 185.7041583658.

Adding to 6404200 its reverse (24046), we get a palindrome (6428246).

It can be divided in two parts, 6404 and 200, that multiplied together give a triangular number (1280800 = T₁₆₀₀).

The spelling of 6404200 in words is "six million, four hundred four thousand, two hundred".