853441824 has 48 divisors (see below), whose sum is σ = 2251706688. Its totient is φ = 283030272.

The previous prime is 853441817. The next prime is 853441843. The reversal of 853441824 is 428144358.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×853441824³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3652 + ... + 41475.

It is an arithmetic number, because the mean of its divisors is an integer number (46910556).

Almost surely, 2^853441824 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 853441824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125853344).

853441824 is an abundant number, since it is smaller than the sum of its proper divisors (1398264864).

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

853441824 is a wasteful number, since it uses less digits than its factorization.

853441824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45337 (or 45329 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 853441824 is about 29213.7266366344. The cubic root of 853441824 is about 948.5450763404.

The spelling of 853441824 in words is "eight hundred fifty-three million, four hundred forty-one thousand, eight hundred twenty-four".