853249152 has 192 divisors, whose sum is σ = 2663742240. Its totient is φ = 241274880.

The previous prime is 853249127. The next prime is 853249153. The reversal of 853249152 is 251942358.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (86400) is a multiple of the sum of its prime divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 853249152.

It is not an unprimeable number, because it can be changed into a prime (853249153) by changing a digit.

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, 2577627 + ... + 2577957.

Almost surely, 2^853249152 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 853249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331871120).

853249152 is an abundant number, since it is smaller than the sum of its proper divisors (1810493088).

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

853249152 is a wasteful number, since it uses less digits than its factorization.

853249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 853249152 is about 29210.4288225969. The cubic root of 853249152 is about 948.4736901695.

The spelling of 853249152 in words is "eight hundred fifty-three million, two hundred forty-nine thousand, one hundred fifty-two".