441059040 has 288 divisors, whose sum is σ = 1622103840. Its totient is φ = 111919104.

The previous prime is 441059039. The next prime is 441059077. The reversal of 441059040 is 40950144.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 441058995 and 441059013.

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 47 ways as a sum of consecutive naturals, for example, 2285184 + ... + 2285376.

It is an arithmetic number, because the mean of its divisors is an integer number (5632305).

Almost surely, 2^441059040 is an apocalyptic number.

441059040 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 441059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811051920).

441059040 is an abundant number, since it is smaller than the sum of its proper divisors (1181044800).

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

441059040 is a wasteful number, since it uses less digits than its factorization.

441059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 226 counting only the distinct ones).

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

The square root of 441059040 is about 21001.4056672405. The cubic root of 441059040 is about 761.2002272780.

The spelling of 441059040 in words is "four hundred forty-one million, fifty-nine thousand, forty".