441104456 has 96 divisors (see below), whose sum is σ = 972921600. Its totient is φ = 186157440.

The previous prime is 441104441. The next prime is 441104467. The reversal of 441104456 is 654401144.

It is a super-2 number, since 2×441104456² = 389146282206111872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163675 + ... + 1164053.

It is an arithmetic number, because the mean of its divisors is an integer number (10134600).

Almost surely, 2^441104456 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 441104456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486460800).

441104456 is an abundant number, since it is smaller than the sum of its proper divisors (531817144).

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

441104456 is a wasteful number, since it uses less digits than its factorization.

441104456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 441104456 is about 21002.4869003649. The cubic root of 441104456 is about 761.2263533970.

The spelling of 441104456 in words is "four hundred forty-one million, one hundred four thousand, four hundred fifty-six".