21800448 has 160 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 6801408.

The previous prime is 21800417. The next prime is 21800453. The reversal of 21800448 is 84400812.

21800448 is a `hidden beast` number, since 218 + 0 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262615 + ... + 262697.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^21800448 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 21800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

21800448 is an abundant number, since it is smaller than the sum of its proper divisors (46945152).

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

21800448 is an equidigital number, since it uses as much as digits as its factorization.

21800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21800448 is about 4669.0949872540. The cubic root of 21800448 is about 279.3541577172.

The spelling of 21800448 in words is "twenty-one million, eight hundred thousand, four hundred forty-eight".