853384896 has 448 divisors, whose sum is σ = 3172520960. Its totient is φ = 221709312.

The previous prime is 853384849. The next prime is 853384907. The reversal of 853384896 is 698483358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4976640) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12737055 + ... + 12737121.

It is an arithmetic number, because the mean of its divisors is an integer number (7081520).

Almost surely, 2^853384896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586260480).

853384896 is an abundant number, since it is smaller than the sum of its proper divisors (2319136064).

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

853384896 is an equidigital number, since it uses as much as digits as its factorization.

853384896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 853384896 is about 29212.7522838914. The cubic root of 853384896 is about 948.5239852817.

The spelling of 853384896 in words is "eight hundred fifty-three million, three hundred eighty-four thousand, eight hundred ninety-six".