441065160 has 96 divisors (see below), whose sum is σ = 1472248440. Its totient is φ = 114435072.

The previous prime is 441065159. The next prime is 441065171. The reversal of 441065160 is 61560144.

441065160 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 651 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 382358916 + 58706244 = 19554^2 + 7662^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3237 + ... + 29876.

Almost surely, 2^441065160 is an apocalyptic number.

441065160 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 441065160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736124220).

441065160 is an abundant number, since it is smaller than the sum of its proper divisors (1031183280).

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

441065160 is a wasteful number, since it uses less digits than its factorization.

441065160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33167 (or 33160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 441065160 is about 21001.5513712678. The cubic root of 441065160 is about 761.2037479887.

The spelling of 441065160 in words is "four hundred forty-one million, sixty-five thousand, one hundred sixty".