441886848 has 256 divisors, whose sum is σ = 1381847040. Its totient is φ = 123863040.

The previous prime is 441886847. The next prime is 441886871. The reversal of 441886848 is 848688144.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 441886848.

It is not an unprimeable number, because it can be changed into a prime (441886847) 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, 3479361 + ... + 3479487.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^441886848 is an apocalyptic number.

441886848 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 441886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

441886848 is an abundant number, since it is smaller than the sum of its proper divisors (939960192).

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

441886848 is a wasteful number, since it uses less digits than its factorization.

441886848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 51.

The square root of 441886848 is about 21021.1048234863. The cubic root of 441886848 is about 761.6761528494.

The spelling of 441886848 in words is "four hundred forty-one million, eight hundred eighty-six thousand, eight hundred forty-eight".