6449200 has 60 divisors (see below), whose sum is σ = 16190928. Its totient is φ = 2464000.

The previous prime is 6449197. The next prime is 6449213. The reversal of 6449200 is 29446.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8850 + ... + 9550.

Almost surely, 2^6449200 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 6449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095464).

6449200 is an abundant number, since it is smaller than the sum of its proper divisors (9741728).

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

6449200 is a wasteful number, since it uses less digits than its factorization.

6449200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6449200 is about 2539.5275151098. The cubic root of 6449200 is about 186.1381022379.

The spelling of 6449200 in words is "six million, four hundred forty-nine thousand, two hundred".