440439648 has 96 divisors (see below), whose sum is σ = 1272765312. Its totient is φ = 132249600.

The previous prime is 440439647. The next prime is 440439653. The reversal of 440439648 is 846934044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440439641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117483 + ... + 121173.

It is an arithmetic number, because the mean of its divisors is an integer number (13257972).

Almost surely, 2^440439648 is an apocalyptic number.

440439648 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 440439648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636382656).

440439648 is an abundant number, since it is smaller than the sum of its proper divisors (832325664).

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

440439648 is a wasteful number, since it uses less digits than its factorization.

440439648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 440439648 is about 20986.6540448924. The cubic root of 440439648 is about 760.8437351641.

The spelling of 440439648 in words is "four hundred forty million, four hundred thirty-nine thousand, six hundred forty-eight".