440064 has 54 divisors (see below), whose sum is σ = 1275456. Its totient is φ = 145920.

The previous prime is 440047. The next prime is 440087. The reversal of 440064 is 460044.

440064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 440064.

It is an unprimeable number.

440064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2209 + ... + 2399.

2⁴⁴⁰⁰⁶⁴ 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 440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637728).

440064 is an abundant number, since it is smaller than the sum of its proper divisors (835392).

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

440064 is a wasteful number, since it uses less digits than its factorization.

440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 440064 is about 663.3731981321. The cubic root of 440064 is about 76.0627367479.

The spelling of 440064 in words is "four hundred forty thousand, sixty-four".