444721040 has 80 divisors (see below), whose sum is σ = 1078311936. Its totient is φ = 170380800.

The previous prime is 444721033. The next prime is 444721063. The reversal of 444721040 is 40127444.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 254570 + ... + 256310.

Almost surely, 2^444721040 is an apocalyptic number.

444721040 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 444721040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539155968).

444721040 is an abundant number, since it is smaller than the sum of its proper divisors (633590896).

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

444721040 is a wasteful number, since it uses less digits than its factorization.

444721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 444721040 is about 21088.4100870597. The cubic root of 444721040 is about 763.3011069750.

Adding to 444721040 its reverse (40127444), we get a palindrome (484848484).

The spelling of 444721040 in words is "four hundred forty-four million, seven hundred twenty-one thousand, forty".