849108480 has 480 divisors, whose sum is σ = 3258541440. Its totient is φ = 186531840.

The previous prime is 849108473. The next prime is 849108493. The reversal of 849108480 is 84801948.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36917749 + ... + 36917771.

It is an arithmetic number, because the mean of its divisors is an integer number (6788628).

Almost surely, 2^849108480 is an apocalyptic number.

849108480 is a gapful number since it is divisible by the number (80) 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 849108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629270720).

849108480 is an abundant number, since it is smaller than the sum of its proper divisors (2409432960).

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

849108480 is a wasteful number, since it uses less digits than its factorization.

849108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 849108480 is about 29139.4660211885. The cubic root of 849108480 is about 946.9369414979.

The spelling of 849108480 in words is "eight hundred forty-nine million, one hundred eight thousand, four hundred eighty".