441668160 has 448 divisors, whose sum is σ = 1720535040. Its totient is φ = 106168320.

The previous prime is 441668119. The next prime is 441668189. The reversal of 441668160 is 61866144.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 4553232 + ... + 4553328.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^441668160 is an apocalyptic number.

441668160 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 441668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860267520).

441668160 is an abundant number, since it is smaller than the sum of its proper divisors (1278866880).

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

441668160 is a wasteful number, since it uses less digits than its factorization.

441668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 441668160 is about 21015.9025502118. The cubic root of 441668160 is about 761.5504819746.

It can be divided in two parts, 44166 and 8160, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 441668160 in words is "four hundred forty-one million, six hundred sixty-eight thousand, one hundred sixty".