850409560 has 256 divisors, whose sum is σ = 2615639040. Its totient is φ = 240261120.

The previous prime is 850409533. The next prime is 850409563. The reversal of 850409560 is 65904058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850409563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2682522 + ... + 2682838.

It is an arithmetic number, because the mean of its divisors is an integer number (10217340).

Almost surely, 2^850409560 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 850409560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307819520).

850409560 is an abundant number, since it is smaller than the sum of its proper divisors (1765229480).

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

850409560 is a wasteful number, since it uses less digits than its factorization.

850409560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

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

The square root of 850409560 is about 29161.7825243931. The cubic root of 850409560 is about 947.4203551798.

The spelling of 850409560 in words is "eight hundred fifty million, four hundred nine thousand, five hundred sixty".