444822240 has 192 divisors, whose sum is σ = 1447891200. Its totient is φ = 114745344.

The previous prime is 444822239. The next prime is 444822247. The reversal of 444822240 is 42228444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444822198 and 444822207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444822247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3200091 + ... + 3200229.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^444822240 is an apocalyptic number.

444822240 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 444822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

444822240 is an abundant number, since it is smaller than the sum of its proper divisors (1003068960).

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

444822240 is a wasteful number, since it uses less digits than its factorization.

444822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 444822240 is about 21090.8093728050. The cubic root of 444822240 is about 763.3590011052.

It can be divided in two parts, 44 and 4822240, that added together give a palindrome (4822284).

The spelling of 444822240 in words is "four hundred forty-four million, eight hundred twenty-two thousand, two hundred forty".