440307712 has 52 divisors (see below), whose sum is σ = 948353980. Its totient is φ = 203194368.

The previous prime is 440307697. The next prime is 440307713. The reversal of 440307712 is 217703044.

It can be written as a sum of positive squares in 2 ways, for example, as 243859456 + 196448256 = 15616^2 + 14016^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is not an unprimeable number, because it can be changed into a prime (440307713) 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, 49114 + ... + 57382.

Almost surely, 2^440307712 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 440307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474176990).

440307712 is an abundant number, since it is smaller than the sum of its proper divisors (508046268).

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

440307712 is an equidigital number, since it uses as much as digits as its factorization.

440307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 440307712 is about 20983.5104784686. The cubic root of 440307712 is about 760.7677560036.

The spelling of 440307712 in words is "four hundred forty million, three hundred seven thousand, seven hundred twelve".