4800444000 has 384 divisors, whose sum is σ = 17594164224. Its totient is φ = 1134080000.

The previous prime is 4800443903. The next prime is 4800444001. The reversal of 4800444000 is 4440084.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800444001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5411557 + ... + 5412443.

It is an arithmetic number, because the mean of its divisors is an integer number (45818136).

Almost surely, 2^4800444000 is an apocalyptic number.

4800444000 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 4800444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797082112).

4800444000 is an abundant number, since it is smaller than the sum of its proper divisors (12793720224).

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

4800444000 is a wasteful number, since it uses less digits than its factorization.

4800444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4800444000 is about 69285.2365226532. The cubic root of 4800444000 is about 1686.9173406809.

Adding to 4800444000 its reverse (4440084), we get a palindrome (4804884084).

The spelling of 4800444000 in words is "four billion, eight hundred million, four hundred forty-four thousand".