441697984 has 112 divisors (see below), whose sum is σ = 1088136000. Its totient is φ = 173223936.

The previous prime is 441697979. The next prime is 441697987. The reversal of 441697984 is 489796144.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441697987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867522 + ... + 868030.

It is an arithmetic number, because the mean of its divisors is an integer number (9715500).

Almost surely, 2^441697984 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 441697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544068000).

441697984 is an abundant number, since it is smaller than the sum of its proper divisors (646438016).

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

441697984 is a wasteful number, since it uses less digits than its factorization.

441697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 441697984 is about 21016.6120961491. The cubic root of 441697984 is about 761.5676230263.

It can be divided in two parts, 4416 and 97984, that added together give a square (102400 = 320²).

The spelling of 441697984 in words is "four hundred forty-one million, six hundred ninety-seven thousand, nine hundred eighty-four".