444017376 has 288 divisors, whose sum is σ = 1485993600. Its totient is φ = 129185280.

The previous prime is 444017363. The next prime is 444017393. The reversal of 444017376 is 673710444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444017376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480455 + ... + 2480633.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^444017376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444017376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

444017376 is an abundant number, since it is smaller than the sum of its proper divisors (1041976224).

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

444017376 is a wasteful number, since it uses less digits than its factorization.

444017376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 444017376 is about 21071.7198159049. The cubic root of 444017376 is about 762.8983143685.

The spelling of 444017376 in words is "four hundred forty-four million, seventeen thousand, three hundred seventy-six".