6496400 has 60 divisors (see below), whose sum is σ = 15856500. Its totient is φ = 2557440.

The previous prime is 6496379. The next prime is 6496417. The reversal of 6496400 is 46946.

It can be written as a sum of positive squares in 6 ways, for example, as 425104 + 6071296 = 652^2 + 2464^2 .

It is a super-4 number, since 4×6496400⁴ (a number of 28 digits) contains 4444 as substring.

It is an Ulam number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 43526 + ... + 43674.

It is an arithmetic number, because the mean of its divisors is an integer number (264275).

Almost surely, 2^6496400 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 6496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928250).

6496400 is an abundant number, since it is smaller than the sum of its proper divisors (9360100).

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

6496400 is a wasteful number, since it uses less digits than its factorization.

6496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 6496400 is about 2548.8036409265. The cubic root of 6496400 is about 186.5910975290.

The spelling of 6496400 in words is "six million, four hundred ninety-six thousand, four hundred".