441688005 has 64 divisors (see below), whose sum is σ = 860451840. Its totient is φ = 213192000.

The previous prime is 441687991. The next prime is 441688019. The reversal of 441688005 is 500886144.

It is an interprime number because it is at equal distance from previous prime (441687991) and next prime (441688019).

It is not a de Polignac number, because 441688005 - 2⁴ = 441687989 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 419730 + ... + 420780.

It is an arithmetic number, because the mean of its divisors is an integer number (13444560).

Almost surely, 2^441688005 is an apocalyptic number.

441688005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441688005 is a deficient number, since it is larger than the sum of its proper divisors (418763835).

441688005 is a wasteful number, since it uses less digits than its factorization.

441688005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 441688005 is about 21016.3746873717. The cubic root of 441688005 is about 761.5618877797.

The spelling of 441688005 in words is "four hundred forty-one million, six hundred eighty-eight thousand, five".