441504000 has 576 divisors, whose sum is σ = 1887674880. Its totient is φ = 99532800.

The previous prime is 441503999. The next prime is 441504001. The reversal of 441504000 is 405144.

It is an interprime number because it is at equal distance from previous prime (441503999) and next prime (441504001).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (441504001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047964 + ... + 6048036.

Almost surely, 2^441504000 is an apocalyptic number.

441504000 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 441504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943837440).

441504000 is an abundant number, since it is smaller than the sum of its proper divisors (1446170880).

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

441504000 is an equidigital number, since it uses as much as digits as its factorization.

441504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 441504000 is about 21011.9965733864. The cubic root of 441504000 is about 761.4561188075.

Adding to 441504000 its reverse (405144), we get a palindrome (441909144).

The spelling of 441504000 in words is "four hundred forty-one million, five hundred four thousand".