6413400200 has 48 divisors (see below), whose sum is σ = 14916731280. Its totient is φ = 2564400960.

The previous prime is 6413400193. The next prime is 6413400209. The reversal of 6413400200 is 20043146.

It is a happy number.

It is a super-2 number, since 2×6413400200² = 82263404250720080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6413400209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801419 + ... + 809381.

It is an arithmetic number, because the mean of its divisors is an integer number (310765235).

Almost surely, 2^6413400200 is an apocalyptic number.

It is an amenable number.

6413400200 is an abundant number, since it is smaller than the sum of its proper divisors (8503331080).

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

6413400200 is a wasteful number, since it uses less digits than its factorization.

6413400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6413400200 is about 80083.7074566356. The cubic root of 6413400200 is about 1857.9304263470.

Adding to 6413400200 its reverse (20043146), we get a palindrome (6433443346).

The spelling of 6413400200 in words is "six billion, four hundred thirteen million, four hundred thousand, two hundred".