4400960 has 56 divisors (see below), whose sum is σ = 11109960. Its totient is φ = 1654784.

The previous prime is 4400959. The next prime is 4400969. The reversal of 4400960 is 690044.

It can be written as a sum of positive squares in 4 ways, for example, as 1763584 + 2637376 = 1328^2 + 1624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5036 + ... + 5844.

Almost surely, 2^4400960 is an apocalyptic number.

4400960 is a gapful number since it is divisible by the number (40) 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 4400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554980).

4400960 is an abundant number, since it is smaller than the sum of its proper divisors (6709000).

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

4400960 is a wasteful number, since it uses less digits than its factorization.

4400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4400960 is about 2097.8465148814. The cubic root of 4400960 is about 163.8761706538.

The spelling of 4400960 in words is "four million, four hundred thousand, nine hundred sixty".