850838400 has 288 divisors, whose sum is σ = 3137209920. Its totient is φ = 219340800.

The previous prime is 850838399. The next prime is 850838419. The reversal of 850838400 is 4838058.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892324 + ... + 893276.

It is an arithmetic number, because the mean of its divisors is an integer number (10893090).

Almost surely, 2^850838400 is an apocalyptic number.

850838400 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 850838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568604960).

850838400 is an abundant number, since it is smaller than the sum of its proper divisors (2286371520).

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

850838400 is a wasteful number, since it uses less digits than its factorization.

850838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 850838400 is about 29169.1343717979. The cubic root of 850838400 is about 947.5795817804.

The spelling of 850838400 in words is "eight hundred fifty million, eight hundred thirty-eight thousand, four hundred".