8449200 has 90 divisors (see below), whose sum is σ = 29333564. Its totient is φ = 2252160.

The previous prime is 8449159. The next prime is 8449223. The reversal of 8449200 is 29448.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2427 + ... + 4773.

Almost surely, 2^8449200 is an apocalyptic number.

8449200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666782).

8449200 is an abundant number, since it is smaller than the sum of its proper divisors (20884364).

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

8449200 is a wasteful number, since it uses less digits than its factorization.

8449200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8449200 is about 2906.7507633094. The cubic root of 8449200 is about 203.6753775938.

It can be divided in two parts, 8449 and 200, that added together give a square (8649 = 93²).

The spelling of 8449200 in words is "eight million, four hundred forty-nine thousand, two hundred".