850504960 has 72 divisors (see below), whose sum is σ = 2043538056. Its totient is φ = 339148800.

The previous prime is 850504957. The next prime is 850504979. The reversal of 850504960 is 69405058.

It can be written as a sum of positive squares in 4 ways, for example, as 248882176 + 601622784 = 15776^2 + 24528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512452 + ... + 514108.

It is an arithmetic number, because the mean of its divisors is an integer number (28382473).

Almost surely, 2^850504960 is an apocalyptic number.

850504960 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 850504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021769028).

850504960 is an abundant number, since it is smaller than the sum of its proper divisors (1193033096).

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

850504960 is a wasteful number, since it uses less digits than its factorization.

850504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 850504960 is about 29163.4181810020. The cubic root of 850504960 is about 947.4557814523.

The spelling of 850504960 in words is "eight hundred fifty million, five hundred four thousand, nine hundred sixty".