850444320 has 384 divisors, whose sum is σ = 3135283200. Its totient is φ = 191713280.

The previous prime is 850444291. The next prime is 850444321. The reversal of 850444320 is 23444058.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (850444321) 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, 5707606 + ... + 5707754.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^850444320 is an apocalyptic number.

850444320 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 850444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

850444320 is an abundant number, since it is smaller than the sum of its proper divisors (2284838880).

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

850444320 is a wasteful number, since it uses less digits than its factorization.

850444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 850444320 is about 29162.3785038189. The cubic root of 850444320 is about 947.4332634240.

Adding to 850444320 its reverse (23444058), we get a palindrome (873888378).

The spelling of 850444320 in words is "eight hundred fifty million, four hundred forty-four thousand, three hundred twenty".