441117649 has 24 divisors (see below), whose sum is σ = 546640488. Its totient is φ = 353687040.

The previous prime is 441117619. The next prime is 441117671. The reversal of 441117649 is 946711144.

It can be written as a sum of positive squares in 4 ways, for example, as 337383424 + 103734225 = 18368^2 + 10185^2 .

It is not a de Polignac number, because 441117649 - 2⁵ = 441117617 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441117619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142579 + ... + 145639.

It is an arithmetic number, because the mean of its divisors is an integer number (22776687).

Almost surely, 2^441117649 is an apocalyptic number.

441117649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

441117649 is a deficient number, since it is larger than the sum of its proper divisors (105522839).

441117649 is a wasteful number, since it uses less digits than its factorization.

441117649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3258 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 441117649 is about 21002.8009798693. The cubic root of 441117649 is about 761.2339424983.

It can be divided in two parts, 441 and 117649, that multiplied together give a square (51883209 = 7203²).

The spelling of 441117649 in words is "four hundred forty-one million, one hundred seventeen thousand, six hundred forty-nine".