440901072 has 60 divisors (see below), whose sum is σ = 1242972900. Its totient is φ = 145887744.

The previous prime is 440901049. The next prime is 440901073. The reversal of 440901072 is 270109044.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 157854096 + 283046976 = 12564^2 + 16824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440901073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8554 + ... + 30902.

It is an arithmetic number, because the mean of its divisors is an integer number (20716215).

Almost surely, 2^440901072 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 440901072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621486450).

440901072 is an abundant number, since it is smaller than the sum of its proper divisors (802071828).

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

440901072 is a wasteful number, since it uses less digits than its factorization.

440901072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22500 (or 22491 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 440901072 is about 20997.6444393175. The cubic root of 440901072 is about 761.1093402500.

The spelling of 440901072 in words is "four hundred forty million, nine hundred one thousand, seventy-two".