440173728 has 72 divisors (see below), whose sum is σ = 1255281300. Its totient is φ = 146310144.

The previous prime is 440173691. The next prime is 440173751. The reversal of 440173728 is 827371044.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 391564944 + 48608784 = 19788^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 440173692 and 440173701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110068 + ... + 113996.

Almost surely, 2^440173728 is an apocalyptic number.

440173728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440173728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627640650).

440173728 is an abundant number, since it is smaller than the sum of its proper divisors (815107572).

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

440173728 is a wasteful number, since it uses less digits than its factorization.

440173728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 440173728 is about 20980.3176334392. The cubic root of 440173728 is about 760.6905819085.

The spelling of 440173728 in words is "four hundred forty million, one hundred seventy-three thousand, seven hundred twenty-eight".