21448800 has 180 divisors, whose sum is σ = 78455916. Its totient is φ = 5702400.

The previous prime is 21448799. The next prime is 21448829. The reversal of 21448800 is 884412.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64635 + ... + 64965.

Almost surely, 2^21448800 is an apocalyptic number.

21448800 is a gapful number since it is divisible by the number (20) 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 21448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39227958).

21448800 is an abundant number, since it is smaller than the sum of its proper divisors (57007116).

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

21448800 is a wasteful number, since it uses less digits than its factorization.

21448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

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

The square root of 21448800 is about 4631.2849188967. The cubic root of 21448800 is about 277.8439854035.

The spelling of 21448800 in words is "twenty-one million, four hundred forty-eight thousand, eight hundred".