850416416 has 48 divisors (see below), whose sum is σ = 1756520640. Its totient is φ = 404732160.

The previous prime is 850416409. The next prime is 850416439. The reversal of 850416416 is 614614058.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59435 + ... + 72341.

It is an arithmetic number, because the mean of its divisors is an integer number (36594180).

Almost surely, 2^850416416 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 850416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878260320).

850416416 is an abundant number, since it is smaller than the sum of its proper divisors (906104224).

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

850416416 is a wasteful number, since it uses less digits than its factorization.

850416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017 (or 13009 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 850416416 is about 29161.9000752694. The cubic root of 850416416 is about 947.4229012066.

The spelling of 850416416 in words is "eight hundred fifty million, four hundred sixteen thousand, four hundred sixteen".