444005380 has 96 divisors (see below), whose sum is σ = 1169489664. Its totient is φ = 137839104.

The previous prime is 444005377. The next prime is 444005407. The reversal of 444005380 is 83500444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94159 + ... + 98761.

It is an arithmetic number, because the mean of its divisors is an integer number (12182184).

Almost surely, 2^444005380 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 444005380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584744832).

444005380 is an abundant number, since it is smaller than the sum of its proper divisors (725484284).

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

444005380 is a wasteful number, since it uses less digits than its factorization.

444005380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 444005380 is about 21071.4351670692. The cubic root of 444005380 is about 762.8914439087.

The spelling of 444005380 in words is "four hundred forty-four million, five thousand, three hundred eighty".