4484378000 has 40 divisors (see below), whose sum is σ = 10843230840. Its totient is φ = 1793750400.

The previous prime is 4484377991. The next prime is 4484378009. The reversal of 4484378000 is 8734844.

It is an interprime number because it is at equal distance from previous prime (4484377991) and next prime (4484378009).

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 4484177296 = 448^2 + 66964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4484378009) 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 7 ways as a sum of consecutive naturals, for example, 1119095 + ... + 1123094.

It is an arithmetic number, because the mean of its divisors is an integer number (271080771).

Almost surely, 2^4484378000 is an apocalyptic number.

4484378000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4484378000 is an abundant number, since it is smaller than the sum of its proper divisors (6358852840).

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

4484378000 is a wasteful number, since it uses less digits than its factorization.

4484378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242212 (or 2242196 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 4484378000 is about 66965.4985794924. The cubic root of 4484378000 is about 1649.0509387578.

The spelling of 4484378000 in words is "four billion, four hundred eighty-four million, three hundred seventy-eight thousand".