850383072 has 288 divisors, whose sum is σ = 3114768384. Its totient is φ = 213580800.

The previous prime is 850383049. The next prime is 850383073. The reversal of 850383072 is 270383058.

850383072 is a `hidden beast` number, since 8 + 503 + 83 + 0 + 72 = 666.

850383072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850383073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686838 + ... + 688074.

It is an arithmetic number, because the mean of its divisors is an integer number (10815168).

Almost surely, 2^850383072 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 850383072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557384192).

850383072 is an abundant number, since it is smaller than the sum of its proper divisors (2264385312).

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

850383072 is a wasteful number, since it uses less digits than its factorization.

850383072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 850383072 is about 29161.3283648053. The cubic root of 850383072 is about 947.4105185348.

The spelling of 850383072 in words is "eight hundred fifty million, three hundred eighty-three thousand, seventy-two".