853846400 has 192 divisors, whose sum is σ = 2331279360. Its totient is φ = 306432000.

The previous prime is 853846393. The next prime is 853846417. The reversal of 853846400 is 4648358.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4470305 + ... + 4470495.

It is an arithmetic number, because the mean of its divisors is an integer number (12142080).

Almost surely, 2^853846400 is an apocalyptic number.

853846400 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 853846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165639680).

853846400 is an abundant number, since it is smaller than the sum of its proper divisors (1477432960).

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

853846400 is a wasteful number, since it uses less digits than its factorization.

853846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 853846400 is about 29220.6502323271. The cubic root of 853846400 is about 948.6949392982.

The spelling of 853846400 in words is "eight hundred fifty-three million, eight hundred forty-six thousand, four hundred".