4400608905 has 240 divisors, whose sum is σ = 10547444160. Its totient is φ = 1730937600.

The previous prime is 4400608889. The next prime is 4400608909. The reversal of 4400608905 is 5098060044.

4400608905 is a `hidden beast` number, since 4 + 40 + 0 + 608 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 4400608905 - 2⁴ = 4400608889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4400608905.

It is not an unprimeable number, because it can be changed into a prime (4400608909) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4147075 + ... + 4148135.

It is an arithmetic number, because the mean of its divisors is an integer number (43947684).

Almost surely, 2^4400608905 is an apocalyptic number.

4400608905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4400608905 is an abundant number, since it is smaller than the sum of its proper divisors (6146835255).

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

4400608905 is a wasteful number, since it uses less digits than its factorization.

4400608905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4400608905 is about 66337.0854424582. The cubic root of 4400608905 is about 1638.7181269296.

Adding to 4400608905 its reverse (5098060044), we get a palindrome (9498668949).

The spelling of 4400608905 in words is "four billion, four hundred million, six hundred eight thousand, nine hundred five".