849150000 has 480 divisors, whose sum is σ = 3312912960. Its totient is φ = 207360000.

The previous prime is 849149999. The next prime is 849150019. The reversal of 849150000 is 51948.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22949982 + ... + 22950018.

It is an arithmetic number, because the mean of its divisors is an integer number (6901902).

Almost surely, 2^849150000 is an apocalyptic number.

849150000 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 849150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656456480).

849150000 is an abundant number, since it is smaller than the sum of its proper divisors (2463762960).

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

849150000 is a wasteful number, since it uses less digits than its factorization.

849150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 849150000 is about 29140.1784483211. The cubic root of 849150000 is about 946.9523757963.

The spelling of 849150000 in words is "eight hundred forty-nine million, one hundred fifty thousand".