4486980960 has 1152 divisors, whose sum is σ = 20849633280. Its totient is φ = 890265600.

The previous prime is 4486980937. The next prime is 4486980961. The reversal of 4486980960 is 690896844.

4486980960 is a `hidden beast` number, since 448 + 69 + 80 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4486980897 and 4486980906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4486980961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95467657 + ... + 95467703.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^4486980960 is an apocalyptic number.

4486980960 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 4486980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424816640).

4486980960 is an abundant number, since it is smaller than the sum of its proper divisors (16362652320).

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

4486980960 is a wasteful number, since it uses less digits than its factorization.

4486980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4486980960 is about 66984.9308426903. The cubic root of 4486980960 is about 1649.3699412585.

The spelling of 4486980960 in words is "four billion, four hundred eighty-six million, nine hundred eighty thousand, nine hundred sixty".