6491200 has 42 divisors (see below), whose sum is σ = 15976346. Its totient is φ = 2595840.

The previous prime is 6491189. The next prime is 6491207. The reversal of 6491200 is 21946.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 6071296 = 648^2 + 2464^2 .

It is a super-3 number, since 3×6491200³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6491207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 429 + ... + 3628.

Almost surely, 2^6491200 is an apocalyptic number.

It is an amenable number.

6491200 is an abundant number, since it is smaller than the sum of its proper divisors (9485146).

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

6491200 is a wasteful number, since it uses less digits than its factorization.

6491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 6491200 is about 2547.7833502871. The cubic root of 6491200 is about 186.5412990404.

It can be divided in two parts, 649 and 1200, that added together give a square (1849 = 43²).

The spelling of 6491200 in words is "six million, four hundred ninety-one thousand, two hundred".