444033040 has 80 divisors (see below), whose sum is σ = 1185549120. Its totient is φ = 152962560.

The previous prime is 444032999. The next prime is 444033071. The reversal of 444033040 is 40330444.

It is a happy number.

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

It is a super-2 number, since 2×444033040² = 394330681223283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 3442 + ... + 29998.

It is an arithmetic number, because the mean of its divisors is an integer number (14819364).

Almost surely, 2^444033040 is an apocalyptic number.

444033040 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 444033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592774560).

444033040 is an abundant number, since it is smaller than the sum of its proper divisors (741516080).

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

444033040 is a wasteful number, since it uses less digits than its factorization.

444033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26600 (or 26594 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 444033040 is about 21072.0914956252. The cubic root of 444033040 is about 762.9072854129.

Adding to 444033040 its reverse (40330444), we get a palindrome (484363484).

It can be divided in two parts, 4 and 44033040, that added together give a palindrome (44033044).

The spelling of 444033040 in words is "four hundred forty-four million, thirty-three thousand, forty".