441531648 has 180 divisors, whose sum is σ = 1335549600. Its totient is φ = 145069056.

The previous prime is 441531617. The next prime is 441531653. The reversal of 441531648 is 846135144.

441531648 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 3 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2218653 + ... + 2218851.

It is an arithmetic number, because the mean of its divisors is an integer number (7419720).

Almost surely, 2^441531648 is an apocalyptic number.

441531648 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 441531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667774800).

441531648 is an abundant number, since it is smaller than the sum of its proper divisors (894017952).

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

441531648 is a wasteful number, since it uses less digits than its factorization.

441531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 441531648 is about 21012.6544729599. The cubic root of 441531648 is about 761.4720131893.

It can be divided in two parts, 4415 and 31648, that added together give a palindrome (36063).

The spelling of 441531648 in words is "four hundred forty-one million, five hundred thirty-one thousand, six hundred forty-eight".