444573760 has 56 divisors (see below), whose sum is σ = 1065504600. Its totient is φ = 176676864.

The previous prime is 444573733. The next prime is 444573803. The reversal of 444573760 is 67375444.

It can be written as a sum of positive squares in 4 ways, for example, as 10601536 + 433972224 = 3256^2 + 20832^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45816 + ... + 54664.

Almost surely, 2^444573760 is an apocalyptic number.

444573760 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 444573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532752300).

444573760 is an abundant number, since it is smaller than the sum of its proper divisors (620930840).

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

444573760 is a wasteful number, since it uses less digits than its factorization.

444573760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The square root of 444573760 is about 21084.9178324223. The cubic root of 444573760 is about 763.2168358707.

The spelling of 444573760 in words is "four hundred forty-four million, five hundred seventy-three thousand, seven hundred sixty".