6449358400 has 42 divisors (see below), whose sum is σ = 15869456450. Its totient is φ = 2579742720.

The previous prime is 6449358341. The next prime is 6449358403. The reversal of 6449358400 is 48539446.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 397763136 + 6051595264 = 19944^2 + 77792^2 .

It is not an unprimeable number, because it can be changed into a prime (6449358403) 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, 2013825 + ... + 2017024.

Almost surely, 2^6449358400 is an apocalyptic number.

It is an amenable number.

6449358400 is an abundant number, since it is smaller than the sum of its proper divisors (9420098050).

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

6449358400 is a wasteful number, since it uses less digits than its factorization.

6449358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030871 (or 4030856 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 6449358400 is about 80307.8974945802. The cubic root of 6449358400 is about 1861.3962614956.

The spelling of 6449358400 in words is "six billion, four hundred forty-nine million, three hundred fifty-eight thousand, four hundred".