6396400 has 30 divisors (see below), whose sum is σ = 15368312. Its totient is φ = 2558400.

The previous prime is 6396389. The next prime is 6396409. The reversal of 6396400 is 46936.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6396409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7596 + ... + 8395.

Almost surely, 2^6396400 is an apocalyptic number.

It is an amenable number.

6396400 is an abundant number, since it is smaller than the sum of its proper divisors (8971912).

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

6396400 is a wasteful number, since it uses less digits than its factorization.

6396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16009 (or 15998 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 6396400 is about 2529.1105155766. The cubic root of 6396400 is about 185.6287348990.

The spelling of 6396400 in words is "six million, three hundred ninety-six thousand, four hundred".