440084 has 12 divisors (see below), whose sum is σ = 774900. Its totient is φ = 218688.

The previous prime is 440047. The next prime is 440087. The reversal of 440084 is 480044.

It can be written as a sum of positive squares in 2 ways, for example, as 211600 + 228484 = 460^2 + 478^2 .

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 440084.

It is not an unprimeable number, because it can be changed into a prime (440087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 872 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (64575).

2⁴⁴⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

440084 is a deficient number, since it is larger than the sum of its proper divisors (334816).

440084 is a wasteful number, since it uses less digits than its factorization.

440084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 440084 is about 663.3882724318. The cubic root of 440084 is about 76.0638890286.

The spelling of 440084 in words is "four hundred forty thousand, eighty-four".