4430906844 has 192 divisors, whose sum is σ = 13092172800. Its totient is φ = 1135337472.

The previous prime is 4430906827. The next prime is 4430906863. The reversal of 4430906844 is 4486090344.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4430906796 and 4430906805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6249162 + ... + 6249870.

It is an arithmetic number, because the mean of its divisors is an integer number (68188400).

Almost surely, 2^4430906844 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 4430906844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546086400).

4430906844 is an abundant number, since it is smaller than the sum of its proper divisors (8661265956).

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

4430906844 is a wasteful number, since it uses less digits than its factorization.

4430906844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

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

The square root of 4430906844 is about 66565.0572297508. The cubic root of 4430906844 is about 1642.4703554255.

The spelling of 4430906844 in words is "four billion, four hundred thirty million, nine hundred six thousand, eight hundred forty-four".