444522000 has 320 divisors, whose sum is σ = 1592398080. Its totient is φ = 105984000.

The previous prime is 444521963. The next prime is 444522017. The reversal of 444522000 is 225444.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3197931 + ... + 3198069.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2^444522000 is an apocalyptic number.

444522000 is a gapful number since it is divisible by the number (40) 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 444522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796199040).

444522000 is an abundant number, since it is smaller than the sum of its proper divisors (1147876080).

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

444522000 is a wasteful number, since it uses less digits than its factorization.

444522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 444522000 is about 21083.6903790584. The cubic root of 444522000 is about 763.1872152617.

Adding to 444522000 its reverse (225444), we get a palindrome (444747444).

The spelling of 444522000 in words is "four hundred forty-four million, five hundred twenty-two thousand".