441171432 has 96 divisors (see below), whose sum is σ = 1331202600. Its totient is φ = 131056128.

The previous prime is 441171421. The next prime is 441171463. The reversal of 441171432 is 234171144.

It can be written as a sum of positive squares in 4 ways, for example, as 347971716 + 93199716 = 18654^2 + 9654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441171396 and 441171405.

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 23 ways as a sum of consecutive naturals, for example, 19018 + ... + 35270.

Almost surely, 2^441171432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441171432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665601300).

441171432 is an abundant number, since it is smaller than the sum of its proper divisors (890031168).

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

441171432 is a wasteful number, since it uses less digits than its factorization.

441171432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16300 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 441171432 is about 21004.0813176868. The cubic root of 441171432 is about 761.2648789022.

The spelling of 441171432 in words is "four hundred forty-one million, one hundred seventy-one thousand, four hundred thirty-two".