441604080 has 180 divisors, whose sum is σ = 1566138600. Its totient is φ = 111497472.

The previous prime is 441604069. The next prime is 441604103. The reversal of 441604080 is 80406144.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259071 + ... + 260769.

It is an arithmetic number, because the mean of its divisors is an integer number (8700770).

Almost surely, 2^441604080 is an apocalyptic number.

441604080 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 441604080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783069300).

441604080 is an abundant number, since it is smaller than the sum of its proper divisors (1124534520).

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

441604080 is a wasteful number, since it uses less digits than its factorization.

441604080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441604080 is about 21014.3779351186. The cubic root of 441604080 is about 761.5136500122.

The spelling of 441604080 in words is "four hundred forty-one million, six hundred four thousand, eighty".