441809424 has 160 divisors (see below), whose sum is σ = 1458755840. Its totient is φ = 125411328.

The previous prime is 441809387. The next prime is 441809429. The reversal of 441809424 is 424908144.

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

It is not an unprimeable number, because it can be changed into a prime (441809429) 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 31 ways as a sum of consecutive naturals, for example, 583254 + ... + 584010.

It is an arithmetic number, because the mean of its divisors is an integer number (9117224).

Almost surely, 2^441809424 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 441809424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729377920).

441809424 is an abundant number, since it is smaller than the sum of its proper divisors (1016946416).

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

441809424 is a wasteful number, since it uses less digits than its factorization.

441809424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 441809424 is about 21019.2631650113. The cubic root of 441809424 is about 761.6316652471.

The spelling of 441809424 in words is "four hundred forty-one million, eight hundred nine thousand, four hundred twenty-four".