853949952 has 200 divisors, whose sum is σ = 2599443000. Its totient is φ = 279023616.

The previous prime is 853949917. The next prime is 853949959. The reversal of 853949952 is 259949358.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853949959) 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 19 ways as a sum of consecutive naturals, for example, 2446674 + ... + 2447022.

It is an arithmetic number, because the mean of its divisors is an integer number (12997215).

Almost surely, 2^853949952 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 853949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299721500).

853949952 is an abundant number, since it is smaller than the sum of its proper divisors (1745493048).

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

853949952 is an equidigital number, since it uses as much as digits as its factorization.

853949952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 853949952 is about 29222.4220762072. The cubic root of 853949952 is about 948.7332893993.

The spelling of 853949952 in words is "eight hundred fifty-three million, nine hundred forty-nine thousand, nine hundred fifty-two".