4484084000 has 192 divisors, whose sum is σ = 12099290112. Its totient is φ = 1619712000.

The previous prime is 4484083997. The next prime is 4484084083. The reversal of 4484084000 is 4804844.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9811772 + ... + 9812228.

It is an arithmetic number, because the mean of its divisors is an integer number (63017136).

Almost surely, 2^4484084000 is an apocalyptic number.

4484084000 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 4484084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049645056).

4484084000 is an abundant number, since it is smaller than the sum of its proper divisors (7615206112).

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

4484084000 is a wasteful number, since it uses less digits than its factorization.

4484084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4484084000 is about 66963.3033832710. The cubic root of 4484084000 is about 1649.0149001982.

Adding to 4484084000 its reverse (4804844), we get a palindrome (4488888844).

The spelling of 4484084000 in words is "four billion, four hundred eighty-four million, eighty-four thousand".