853850400 has 144 divisors (see below), whose sum is σ = 2993183424. Its totient is φ = 210170880.

The previous prime is 853850341. The next prime is 853850447. The reversal of 853850400 is 4058358.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 17517 + ... + 44883.

It is an arithmetic number, because the mean of its divisors is an integer number (20785996).

Almost surely, 2^853850400 is an apocalyptic number.

853850400 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 853850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496591712).

853850400 is an abundant number, since it is smaller than the sum of its proper divisors (2139333024).

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

853850400 is a wasteful number, since it uses less digits than its factorization.

853850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27403 (or 27390 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 853850400 is about 29220.7186769936. The cubic root of 853850400 is about 948.6964207410.

The spelling of 853850400 in words is "eight hundred fifty-three million, eight hundred fifty thousand, four hundred".