850452800 has 84 divisors (see below), whose sum is σ = 2099003676. Its totient is φ = 339148800.

The previous prime is 850452797. The next prime is 850452809. The reversal of 850452800 is 8254058.

It can be written as a sum of positive squares in 6 ways, for example, as 5271616 + 845181184 = 2296^2 + 29072^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850452809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 737024 + ... + 738176.

It is an arithmetic number, because the mean of its divisors is an integer number (24988139).

Almost surely, 2^850452800 is an apocalyptic number.

850452800 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 850452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049501838).

850452800 is an abundant number, since it is smaller than the sum of its proper divisors (1248550876).

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

850452800 is a wasteful number, since it uses less digits than its factorization.

850452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 850452800 is about 29162.5238962611. The cubic root of 850452800 is about 947.4364124475.

The spelling of 850452800 in words is "eight hundred fifty million, four hundred fifty-two thousand, eight hundred".