441201320 has 96 divisors (see below), whose sum is σ = 1167022080. Its totient is φ = 147052800.

The previous prime is 441201317. The next prime is 441201347. The reversal of 441201320 is 23102144.

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, 382745 + ... + 383895.

It is an arithmetic number, because the mean of its divisors is an integer number (12156480).

Almost surely, 2^441201320 is an apocalyptic number.

441201320 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 441201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583511040).

441201320 is an abundant number, since it is smaller than the sum of its proper divisors (725820760).

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

441201320 is a wasteful number, since it uses less digits than its factorization.

441201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 441201320 is about 21004.7927864095. The cubic root of 441201320 is about 761.2820696277.

Adding to 441201320 its reverse (23102144), we get a palindrome (464303464).

The spelling of 441201320 in words is "four hundred forty-one million, two hundred one thousand, three hundred twenty".