21444000 has 96 divisors (see below), whose sum is σ = 70289856. Its totient is φ = 5715200.

The previous prime is 21443999. The next prime is 21444011. The reversal of 21444000 is 44412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 11107 + ... + 12893.

It is an arithmetic number, because the mean of its divisors is an integer number (732186).

Almost surely, 2^21444000 is an apocalyptic number.

21444000 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 21444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35144928).

21444000 is an abundant number, since it is smaller than the sum of its proper divisors (48845856).

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

21444000 is a wasteful number, since it uses less digits than its factorization.

21444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 21444000 is about 4630.7666751846. The cubic root of 21444000 is about 277.8232577384.

Adding to 21444000 its reverse (44412), we get a palindrome (21488412).

The spelling of 21444000 in words is "twenty-one million, four hundred forty-four thousand".