441155328 has 72 divisors (see below), whose sum is σ = 1183623168. Its totient is φ = 145861632.

The previous prime is 441155293. The next prime is 441155359. The reversal of 441155328 is 823551144.

It is a super-3 number, since 3×441155328³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95275 + ... + 99797.

Almost surely, 2^441155328 is an apocalyptic number.

441155328 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 441155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591811584).

441155328 is an abundant number, since it is smaller than the sum of its proper divisors (742467840).

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

441155328 is a wasteful number, since it uses less digits than its factorization.

441155328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4655 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 441155328 is about 21003.6979601212. The cubic root of 441155328 is about 761.2556160187.

The spelling of 441155328 in words is "four hundred forty-one million, one hundred fifty-five thousand, three hundred twenty-eight".