444410010 has 192 divisors, whose sum is σ = 1329914880. Its totient is φ = 105494400.

The previous prime is 444410003. The next prime is 444410023. The reversal of 444410010 is 10014444.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1992759 + ... + 1992981.

It is an arithmetic number, because the mean of its divisors is an integer number (6926640).

Almost surely, 2^444410010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444410010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

444410010 is an abundant number, since it is smaller than the sum of its proper divisors (885504870).

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

444410010 is a wasteful number, since it uses less digits than its factorization.

444410010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 444410010 is about 21081.0343674119. The cubic root of 444410010 is about 763.1231190604.

Adding to 444410010 its reverse (10014444), we get a palindrome (454424454).

The spelling of 444410010 in words is "four hundred forty-four million, four hundred ten thousand, ten".