441200320 has 224 divisors, whose sum is σ = 1242340416. Its totient is φ = 147456000.

The previous prime is 441200213. The next prime is 441200359. The reversal of 441200320 is 23002144.

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

It is a junction number, because it is equal to n+sod(n) for n = 441200294 and 441200303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4368270 + ... + 4368370.

Almost surely, 2^441200320 is an apocalyptic number.

441200320 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 441200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621170208).

441200320 is an abundant number, since it is smaller than the sum of its proper divisors (801140096).

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

441200320 is a wasteful number, since it uses less digits than its factorization.

441200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

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

The square root of 441200320 is about 21004.7689823049. The cubic root of 441200320 is about 761.2814944688.

Adding to 441200320 its reverse (23002144), we get a palindrome (464202464).

The spelling of 441200320 in words is "four hundred forty-one million, two hundred thousand, three hundred twenty".