441623688 has 128 divisors (see below), whose sum is σ = 1342656000. Its totient is φ = 119301120.

The previous prime is 441623681. The next prime is 441623701. The reversal of 441623688 is 886326144.

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

It is not an unprimeable number, because it can be changed into a prime (441623681) 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, 82683 + ... + 87861.

It is an arithmetic number, because the mean of its divisors is an integer number (10489500).

Almost surely, 2^441623688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441623688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671328000).

441623688 is an abundant number, since it is smaller than the sum of its proper divisors (901032312).

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

441623688 is a wasteful number, since it uses less digits than its factorization.

441623688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5231 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 441623688 is about 21014.8444676614. The cubic root of 441623688 is about 761.5249206951.

The spelling of 441623688 in words is "four hundred forty-one million, six hundred twenty-three thousand, six hundred eighty-eight".