440384 has 28 divisors (see below), whose sum is σ = 999744. Its totient is φ = 188544.

The previous prime is 440383. The next prime is 440389. The reversal of 440384 is 483044.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (440383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 939.

2⁴⁴⁰³⁸⁴ 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 440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499872).

440384 is an abundant number, since it is smaller than the sum of its proper divisors (559360).

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

440384 is an equidigital number, since it uses as much as digits as its factorization.

440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 440384 is about 663.6143458365. The cubic root of 440384 is about 76.0811690505.

The spelling of 440384 in words is "four hundred forty thousand, three hundred eighty-four".