441536832 has 336 divisors, whose sum is σ = 1497787200. Its totient is φ = 127733760.

The previous prime is 441536791. The next prime is 441536833. The reversal of 441536832 is 238635144.

441536832 is a `hidden beast` number, since 4 + 41 + 536 + 83 + 2 = 666.

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 (441536833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4961044 + ... + 4961132.

It is an arithmetic number, because the mean of its divisors is an integer number (4457700).

Almost surely, 2^441536832 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 441536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600).

441536832 is an abundant number, since it is smaller than the sum of its proper divisors (1056250368).

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

441536832 is a wasteful number, since it uses less digits than its factorization.

441536832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 441536832 is about 21012.7778268367. Note that the first 3 decimals coincide. The cubic root of 441536832 is about 761.4749933120.

The spelling of 441536832 in words is "four hundred forty-one million, five hundred thirty-six thousand, eight hundred thirty-two".