4404534400 has 384 divisors, whose sum is σ = 13356288000. Its totient is φ = 1401753600.

The previous prime is 4404534389. The next prime is 4404534401. The reversal of 4404534400 is 44354044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404534401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33622335 + ... + 33622465.

It is an arithmetic number, because the mean of its divisors is an integer number (34782000).

Almost surely, 2^4404534400 is an apocalyptic number.

4404534400 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 4404534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678144000).

4404534400 is an abundant number, since it is smaller than the sum of its proper divisors (8951753600).

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

4404534400 is a wasteful number, since it uses less digits than its factorization.

4404534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 4404534400 is about 66366.6663318266. Note that the first 3 decimals coincide. The cubic root of 4404534400 is about 1639.2052464886.

Adding to 4404534400 its reverse (44354044), we get a palindrome (4448888444).

The spelling of 4404534400 in words is "four billion, four hundred four million, five hundred thirty-four thousand, four hundred".