849181440 has 288 divisors, whose sum is σ = 2908039680. Its totient is φ = 210567168.

The previous prime is 849181439. The next prime is 849181499. The reversal of 849181440 is 44181948.

It is a super-2 number, since 2×849181440² = 1442218236080947200, which contains 22 as substring.

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, 7514824 + ... + 7514936.

It is an arithmetic number, because the mean of its divisors is an integer number (10097360).

Almost surely, 2^849181440 is an apocalyptic number.

849181440 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 849181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454019840).

849181440 is an abundant number, since it is smaller than the sum of its proper divisors (2058858240).

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

849181440 is a wasteful number, since it uses less digits than its factorization.

849181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 849181440 is about 29140.7179046776. The cubic root of 849181440 is about 946.9640627049.

The spelling of 849181440 in words is "eight hundred forty-nine million, one hundred eighty-one thousand, four hundred forty".