441103488 has 256 divisors, whose sum is σ = 1454112000. Its totient is φ = 118013952.

The previous prime is 441103483. The next prime is 441103493. The reversal of 441103488 is 884301144.

It is an interprime number because it is at equal distance from previous prime (441103483) and next prime (441103493).

It is a super-2 number, since 2×441103488² = 389144574251532288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441103483) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2239006 + ... + 2239202.

It is an arithmetic number, because the mean of its divisors is an integer number (5680125).

Almost surely, 2^441103488 is an apocalyptic number.

441103488 is a gapful number since it is divisible by the number (48) 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 441103488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727056000).

441103488 is an abundant number, since it is smaller than the sum of its proper divisors (1013008512).

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

441103488 is a wasteful number, since it uses less digits than its factorization.

441103488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 441103488 is about 21002.4638554623. The cubic root of 441103488 is about 761.2257965617.

The spelling of 441103488 in words is "four hundred forty-one million, one hundred three thousand, four hundred eighty-eight".