441675072 has 112 divisors (see below), whose sum is σ = 1355018880. Its totient is φ = 140811264.

The previous prime is 441675071. The next prime is 441675089. The reversal of 441675072 is 270576144.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441675071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34188 + ... + 45300.

Almost surely, 2^441675072 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 441675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677509440).

441675072 is an abundant number, since it is smaller than the sum of its proper divisors (913343808).

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

441675072 is a wasteful number, since it uses less digits than its factorization.

441675072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 441675072 is about 21016.0669964673. The cubic root of 441675072 is about 761.5544546475.

The spelling of 441675072 in words is "four hundred forty-one million, six hundred seventy-five thousand, seventy-two".