444605760 has 280 divisors, whose sum is σ = 1676232360. Its totient is φ = 111476736.

The previous prime is 444605753. The next prime is 444605761. The reversal of 444605760 is 67506444.

444605760 is a `hidden beast` number, since 4 + 44 + 605 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58247424 + 386358336 = 7632^2 + 19656^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444605761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440136 + ... + 441144.

Almost surely, 2^444605760 is an apocalyptic number.

444605760 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 444605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838116180).

444605760 is an abundant number, since it is smaller than the sum of its proper divisors (1231626600).

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

444605760 is a wasteful number, since it uses less digits than its factorization.

444605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 444605760 is about 21085.6766550187. The cubic root of 444605760 is about 763.2351473074.

The spelling of 444605760 in words is "four hundred forty-four million, six hundred five thousand, seven hundred sixty".