444281040 has 300 divisors, whose sum is σ = 1747387044. Its totient is φ = 101154816.

The previous prime is 444281027. The next prime is 444281053. The reversal of 444281040 is 40182444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444281027) and next prime (444281053).

It can be written as a sum of positive squares in 2 ways, for example, as 332259984 + 112021056 = 18228^2 + 10584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444280995 and 444281013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1728592 + ... + 1728848.

Almost surely, 2^444281040 is an apocalyptic number.

444281040 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 444281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873693522).

444281040 is an abundant number, since it is smaller than the sum of its proper divisors (1303106004).

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

444281040 is a wasteful number, since it uses less digits than its factorization.

444281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 444281040 is about 21077.9752348275. The cubic root of 444281040 is about 763.0492912072.

The spelling of 444281040 in words is "four hundred forty-four million, two hundred eighty-one thousand, forty".