440672 has 24 divisors (see below), whose sum is σ = 889056. Its totient is φ = 214912.

The previous prime is 440669. The next prime is 440677. The reversal of 440672 is 276044.

It is a super-3 number, since 3×440672³ = 256724681983033344, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440677) 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, 1358 + ... + 1650.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2⁴⁴⁰⁶⁷² 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 440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444528).

440672 is an abundant number, since it is smaller than the sum of its proper divisors (448384).

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

440672 is a wasteful number, since it uses less digits than its factorization.

440672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 440672 is about 663.8313038717. The cubic root of 440672 is about 76.0977504900.

The spelling of 440672 in words is "four hundred forty thousand, six hundred seventy-two".