441471681 has 64 divisors (see below), whose sum is σ = 766402560. Its totient is φ = 245972160.

The previous prime is 441471673. The next prime is 441471697. The reversal of 441471681 is 186174144.

It is not a de Polignac number, because 441471681 - 2³ = 441471673 is a prime.

It is a super-2 number, since 2×441471681² = 389794490249931522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441471281) by changing a digit.

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, 2240875 + ... + 2241071.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2^441471681 is an apocalyptic number.

It is an amenable number.

441471681 is a deficient number, since it is larger than the sum of its proper divisors (324930879).

441471681 is a wasteful number, since it uses less digits than its factorization.

441471681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 441471681 is about 21011.2274986494. The cubic root of 441471681 is about 761.4375383033.

The spelling of 441471681 in words is "four hundred forty-one million, four hundred seventy-one thousand, six hundred eighty-one".