441059328 has 72 divisors (see below), whose sum is σ = 1273913550. Its totient is φ = 147013632.

The previous prime is 441059317. The next prime is 441059329. The reversal of 441059328 is 823950144.

441059328 is a `hidden beast` number, since 4 + 41 + 0 + 593 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 343286784 + 97772544 = 18528^2 + 9888^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 441059292 and 441059301.

It is not an unprimeable number, because it can be changed into a prime (441059329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6468 + ... + 30396.

Almost surely, 2^441059328 is an apocalyptic number.

441059328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636956775).

441059328 is an abundant number, since it is smaller than the sum of its proper divisors (832854222).

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

441059328 is a wasteful number, since it uses less digits than its factorization.

441059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23957 (or 23934 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 441059328 is about 21001.4125239232. The cubic root of 441059328 is about 761.2003929592.

The spelling of 441059328 in words is "four hundred forty-one million, fifty-nine thousand, three hundred twenty-eight".