440016 has 40 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 143616.

The previous prime is 440009. The next prime is 440023. The reversal of 440016 is 610044.

440016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (440009) and next prime (440023).

It is a super-2 number, since 2×440016² = 387228160512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 439977 and 440004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4221 + ... + 4323.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁴⁴⁰⁰¹⁶ 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 440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

440016 is an abundant number, since it is smaller than the sum of its proper divisors (720624).

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

440016 is a wasteful number, since it uses less digits than its factorization.

440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 440016 is about 663.3370184152. The cubic root of 440016 is about 76.0599711319.

The spelling of 440016 in words is "four hundred forty thousand, sixteen".