441130800 has 240 divisors, whose sum is σ = 1609682688. Its totient is φ = 102220800.

The previous prime is 441130799. The next prime is 441130801. The reversal of 441130800 is 8031144.

It is an interprime number because it is at equal distance from previous prime (441130799) and next prime (441130801).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (441130801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302874 + ... + 304326.

Almost surely, 2^441130800 is an apocalyptic number.

441130800 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 441130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804841344).

441130800 is an abundant number, since it is smaller than the sum of its proper divisors (1168551888).

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

441130800 is a wasteful number, since it uses less digits than its factorization.

441130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 441130800 is about 21003.1140548253. The cubic root of 441130800 is about 761.2415072890.

Adding to 441130800 its reverse (8031144), we get a palindrome (449161944).

The spelling of 441130800 in words is "four hundred forty-one million, one hundred thirty thousand, eight hundred".