850400 has 36 divisors (see below), whose sum is σ = 2077992. Its totient is φ = 339840.

The previous prime is 850397. The next prime is 850403. The reversal of 850400 is 4058.

It is an interprime number because it is at equal distance from previous prime (850397) and next prime (850403).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850403) 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 5 ways as a sum of consecutive naturals, for example, 269 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (57722).

2⁸⁵⁰⁴⁰⁰ is an apocalyptic number.

850400 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 850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038996).

850400 is an abundant number, since it is smaller than the sum of its proper divisors (1227592).

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

850400 is a wasteful number, since it uses less digits than its factorization.

850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 850400 is about 922.1713506719. The cubic root of 850400 is about 94.7416804980.

Adding to 850400 its reverse (4058), we get a palindrome (854458).

The spelling of 850400 in words is "eight hundred fifty thousand, four hundred".