441313000 has 64 divisors (see below), whose sum is σ = 1087070400. Its totient is φ = 167227200.

The previous prime is 441312973. The next prime is 441313001. The reversal of 441313000 is 313144.

It is not an unprimeable number, because it can be changed into a prime (441313001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7387 + ... + 30613.

It is an arithmetic number, because the mean of its divisors is an integer number (16985475).

Almost surely, 2^441313000 is an apocalyptic number.

441313000 is a gapful number since it is divisible by the number (40) 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 441313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543535200).

441313000 is an abundant number, since it is smaller than the sum of its proper divisors (645757400).

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

441313000 is a wasteful number, since it uses less digits than its factorization.

441313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23267 (or 23253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 441313000 is about 21007.4510590885. The cubic root of 441313000 is about 761.3462979101.

Adding to 441313000 its product of nonzero digits (144), we get a palindrome (441313144).

Adding to 441313000 its reverse (313144), we get a palindrome (441626144).

The spelling of 441313000 in words is "four hundred forty-one million, three hundred thirteen thousand".