441355005 has 144 divisors (see below), whose sum is σ = 974741040. Its totient is φ = 183085056.

The previous prime is 441354989. The next prime is 441355043. The reversal of 441355005 is 500553144.

It can be written as a sum of positive squares in 8 ways, for example, as 16088121 + 425266884 = 4011^2 + 20622^2 .

It is not a de Polignac number, because 441355005 - 2⁴ = 441354989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 441355005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2551099 + ... + 2551271.

It is an arithmetic number, because the mean of its divisors is an integer number (6769035).

Almost surely, 2^441355005 is an apocalyptic number.

441355005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441355005 is an abundant number, since it is smaller than the sum of its proper divisors (533386035).

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

441355005 is a wasteful number, since it uses less digits than its factorization.

441355005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 441355005 is about 21008.4507996187. The cubic root of 441355005 is about 761.3704526005.

The spelling of 441355005 in words is "four hundred forty-one million, three hundred fifty-five thousand, five".