444367040 has 112 divisors (see below), whose sum is σ = 1170748992. Its totient is φ = 159584256.

The previous prime is 444367019. The next prime is 444367043. The reversal of 444367040 is 40763444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 444366988 and 444367006.

It is not an unprimeable number, because it can be changed into a prime (444367043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 152477 + ... + 155363.

It is an arithmetic number, because the mean of its divisors is an integer number (10453116).

Almost surely, 2^444367040 is an apocalyptic number.

444367040 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 444367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585374496).

444367040 is an abundant number, since it is smaller than the sum of its proper divisors (726381952).

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

444367040 is a wasteful number, since it uses less digits than its factorization.

444367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 444367040 is about 21080.0151802602. The cubic root of 444367040 is about 763.0985228117.

The spelling of 444367040 in words is "four hundred forty-four million, three hundred sixty-seven thousand, forty".