8445200 has 60 divisors (see below), whose sum is σ = 20803728. Its totient is φ = 3292800.

The previous prime is 8445161. The next prime is 8445251. The reversal of 8445200 is 25448.

It is an Ulam number.

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, 16955 + ... + 17445.

Almost surely, 2^8445200 is an apocalyptic number.

8445200 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 8445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401864).

8445200 is an abundant number, since it is smaller than the sum of its proper divisors (12358528).

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

8445200 is a wasteful number, since it uses less digits than its factorization.

8445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 8445200 is about 2906.0626283685. The cubic root of 8445200 is about 203.6432313508.

The spelling of 8445200 in words is "eight million, four hundred forty-five thousand, two hundred".