441145100 has 72 divisors (see below), whose sum is σ = 1080399600. Its totient is φ = 154873600.

The previous prime is 441145099. The next prime is 441145123. The reversal of 441145100 is 1541144.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 24986 + ... + 38814.

It is an arithmetic number, because the mean of its divisors is an integer number (15005550).

Almost surely, 2^441145100 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 441145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540199800).

441145100 is an abundant number, since it is smaller than the sum of its proper divisors (639254500).

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

441145100 is a wasteful number, since it uses less digits than its factorization.

441145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883 (or 13876 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 441145100 is about 21003.4544777758. The cubic root of 441145100 is about 761.2497328432.

Adding to 441145100 its reverse (1541144), we get a palindrome (442686244).

It can be divided in two parts, 441 and 145100, that added together give a palindrome (145541).

The spelling of 441145100 in words is "four hundred forty-one million, one hundred forty-five thousand, one hundred".