441034000 has 80 divisors (see below), whose sum is σ = 1163425536. Its totient is φ = 160368000.

The previous prime is 441033961. The next prime is 441034021. The reversal of 441034000 is 430144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11977 + ... + 32023.

Almost surely, 2^441034000 is an apocalyptic number.

441034000 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 441034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581712768).

441034000 is an abundant number, since it is smaller than the sum of its proper divisors (722391536).

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

441034000 is a wasteful number, since it uses less digits than its factorization.

441034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20081 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 441034000 is about 21000.8095082071. The cubic root of 441034000 is about 761.1858219394.

Adding to 441034000 its reverse (430144), we get a palindrome (441464144).

The spelling of 441034000 in words is "four hundred forty-one million, thirty-four thousand".