444204640 has 96 divisors (see below), whose sum is σ = 1162232064. Its totient is φ = 159075840.

The previous prime is 444204637. The next prime is 444204641. The reversal of 444204640 is 46402444.

It is a junction number, because it is equal to n+sod(n) for n = 444204599 and 444204608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444204641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116037 + ... + 119803.

It is an arithmetic number, because the mean of its divisors is an integer number (12106584).

Almost surely, 2^444204640 is an apocalyptic number.

444204640 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 444204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581116032).

444204640 is an abundant number, since it is smaller than the sum of its proper divisors (718027424).

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

444204640 is a wasteful number, since it uses less digits than its factorization.

444204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 444204640 is about 21076.1628386194. The cubic root of 444204640 is about 763.0055498944.

The spelling of 444204640 in words is "four hundred forty-four million, two hundred four thousand, six hundred forty".