850905000 has 400 divisors, whose sum is σ = 3265954560. Its totient is φ = 205200000.

The previous prime is 850904869. The next prime is 850905007. The reversal of 850905000 is 509058.

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

It is not an unprimeable number, because it can be changed into a prime (850905007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 4454905 + ... + 4455095.

Almost surely, 2^850905000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632977280).

850905000 is an abundant number, since it is smaller than the sum of its proper divisors (2415049560).

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

850905000 is a wasteful number, since it uses less digits than its factorization.

850905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 850905000 is about 29170.2759671553. The cubic root of 850905000 is about 947.6043052976.

The spelling of 850905000 in words is "eight hundred fifty million, nine hundred five thousand".