4484051920 has 320 divisors, whose sum is σ = 12149222400. Its totient is φ = 1529937920.

The previous prime is 4484051893. The next prime is 4484051933. The reversal of 4484051920 is 291504844.

It is a self number, because there is not a number n which added to its sum of digits gives 4484051920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76000851 + ... + 76000909.

It is an arithmetic number, because the mean of its divisors is an integer number (37966320).

Almost surely, 2^4484051920 is an apocalyptic number.

4484051920 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 4484051920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074611200).

4484051920 is an abundant number, since it is smaller than the sum of its proper divisors (7665170480).

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

4484051920 is a wasteful number, since it uses less digits than its factorization.

4484051920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 4484051920 is about 66963.0638486621. The cubic root of 4484051920 is about 1649.0109677322.

The spelling of 4484051920 in words is "four billion, four hundred eighty-four million, fifty-one thousand, nine hundred twenty".