441185328 has 60 divisors (see below), whose sum is σ = 1241601088. Its totient is φ = 146240640.

The previous prime is 441185317. The next prime is 441185341. The reversal of 441185328 is 823581144.

441185328 is a `hidden beast` number, since 4 + 4 + 118 + 532 + 8 = 666.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 441185292 and 441185301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17601 + ... + 34527.

Almost surely, 2^441185328 is an apocalyptic number.

441185328 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 441185328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620800544).

441185328 is an abundant number, since it is smaller than the sum of its proper divisors (800415760).

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

441185328 is a wasteful number, since it uses less digits than its factorization.

441185328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17122 (or 17113 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 441185328 is about 21004.4121079358. The cubic root of 441185328 is about 761.2728715818.

The spelling of 441185328 in words is "four hundred forty-one million, one hundred eighty-five thousand, three hundred twenty-eight".