444122240 has 64 divisors (see below), whose sum is σ = 1098387000. Its totient is φ = 171515904.

The previous prime is 444122233. The next prime is 444122251. The reversal of 444122240 is 42221444.

It can be written as a sum of positive squares in 4 ways, for example, as 390773824 + 53348416 = 19768^2 + 7304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 6596 + ... + 30524.

Almost surely, 2^444122240 is an apocalyptic number.

444122240 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 444122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549193500).

444122240 is an abundant number, since it is smaller than the sum of its proper divisors (654264760).

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

444122240 is a wasteful number, since it uses less digits than its factorization.

444122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23977 (or 23965 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 444122240 is about 21074.2079329212. The cubic root of 444122240 is about 762.9583677779.

Adding to 444122240 its reverse (42221444), we get a palindrome (486343684).

The spelling of 444122240 in words is "four hundred forty-four million, one hundred twenty-two thousand, two hundred forty".