22800448 has 56 divisors (see below), whose sum is σ = 49926240. Its totient is φ = 10245120.

The previous prime is 22800433. The next prime is 22800493. The reversal of 22800448 is 84400822.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 97740 + ... + 97972.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^22800448 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 22800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963120).

22800448 is an abundant number, since it is smaller than the sum of its proper divisors (27125792).

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

22800448 is a wasteful number, since it uses less digits than its factorization.

22800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 22800448 is about 4774.9814659326. The cubic root of 22800448 is about 283.5618450264.

The spelling of 22800448 in words is "twenty-two million, eight hundred thousand, four hundred forty-eight".