441679248 has 60 divisors (see below), whose sum is σ = 1239732780. Its totient is φ = 146792448.

The previous prime is 441679247. The next prime is 441679267. The reversal of 441679248 is 842976144.

It can be written as a sum of positive squares in 2 ways, for example, as 300259584 + 141419664 = 17328^2 + 11892^2 .

It is a super-2 number, since 2×441679248² = 390161116227691008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441679247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46488 + ... + 55176.

It is an arithmetic number, because the mean of its divisors is an integer number (20662213).

Almost surely, 2^441679248 is an apocalyptic number.

441679248 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 441679248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619866390).

441679248 is an abundant number, since it is smaller than the sum of its proper divisors (798053532).

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

441679248 is a wasteful number, since it uses less digits than its factorization.

441679248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9047 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 441679248 is about 21016.1663487897. The cubic root of 441679248 is about 761.5568547840.

The spelling of 441679248 in words is "four hundred forty-one million, six hundred seventy-nine thousand, two hundred forty-eight".