444446688 has 96 divisors (see below), whose sum is σ = 1341398016. Its totient is φ = 126217728.

The previous prime is 444446677. The next prime is 444446693. The reversal of 444446688 is 886644444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114345 + ... + 118167.

It is an arithmetic number, because the mean of its divisors is an integer number (13972896).

Almost surely, 2^444446688 is an apocalyptic number.

444446688 is a gapful number since it is divisible by the number (48) 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 444446688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670699008).

444446688 is an abundant number, since it is smaller than the sum of its proper divisors (896951328).

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

444446688 is a wasteful number, since it uses less digits than its factorization.

444446688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4008 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The square root of 444446688 is about 21081.9042783141. The cubic root of 444446688 is about 763.1441124817.

The spelling of 444446688 in words is "four hundred forty-four million, four hundred forty-six thousand, six hundred eighty-eight".