4429845000 has 600 divisors, whose sum is σ = 17916288390. Its totient is φ = 987840000.

The previous prime is 4429844981. The next prime is 4429845019. The reversal of 4429845000 is 5489244.

It is an interprime number because it is at equal distance from previous prime (4429844981) and next prime (4429845019).

It can be written as a sum of positive squares in 5 ways, for example, as 131469156 + 4298375844 = 11466^2 + 65562^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 108044980 + ... + 108045020.

Almost surely, 2^4429845000 is an apocalyptic number.

4429845000 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 4429845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958144195).

4429845000 is an abundant number, since it is smaller than the sum of its proper divisors (13486443390).

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

4429845000 is an equidigital number, since it uses as much as digits as its factorization.

4429845000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4429845000 is about 66557.0807653100. The cubic root of 4429845000 is about 1642.3391417568.

It can be divided in two parts, 44298 and 45000, that added together give a palindrome (89298).

The spelling of 4429845000 in words is "four billion, four hundred twenty-nine million, eight hundred forty-five thousand".