441007360 has 72 divisors (see below), whose sum is σ = 1066048200. Its totient is φ = 174784512.

The previous prime is 441007339. The next prime is 441007361. The reversal of 441007360 is 63700144.

It can be written as a sum of positive squares in 4 ways, for example, as 22886656 + 418120704 = 4784^2 + 20448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441007361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143116 + ... + 146164.

It is an arithmetic number, because the mean of its divisors is an integer number (14806225).

Almost surely, 2^441007360 is an apocalyptic number.

441007360 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 441007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533024100).

441007360 is an abundant number, since it is smaller than the sum of its proper divisors (625040840).

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

441007360 is a wasteful number, since it uses less digits than its factorization.

441007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 441007360 is about 21000.1752373641. The cubic root of 441007360 is about 761.1704955333.

The spelling of 441007360 in words is "four hundred forty-one million, seven thousand, three hundred sixty".