441308160 has 264 divisors, whose sum is σ = 1564088136. Its totient is φ = 115015680.

The previous prime is 441308159. The next prime is 441308173. The reversal of 441308160 is 61803144.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 437981184 = 1824^2 + 20928^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2810802 + ... + 2810958.

Almost surely, 2^441308160 is an apocalyptic number.

441308160 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 441308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782044068).

441308160 is an abundant number, since it is smaller than the sum of its proper divisors (1122779976).

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

441308160 is a wasteful number, since it uses less digits than its factorization.

441308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 441308160 is about 21007.3358615508. The cubic root of 441308160 is about 761.3435146024.

The spelling of 441308160 in words is "four hundred forty-one million, three hundred eight thousand, one hundred sixty".