852403552 has 288 divisors, whose sum is σ = 2390653440. Its totient is φ = 289935360.

The previous prime is 852403543. The next prime is 852403597. The reversal of 852403552 is 255304258.

It is a super-3 number, since 3×852403552³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9577524 + ... + 9577612.

It is an arithmetic number, because the mean of its divisors is an integer number (8300880).

Almost surely, 2^852403552 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 852403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195326720).

852403552 is an abundant number, since it is smaller than the sum of its proper divisors (1538249888).

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

852403552 is a wasteful number, since it uses less digits than its factorization.

852403552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 852403552 is about 29195.9509521440. The cubic root of 852403552 is about 948.1602629824.

It can be divided in two parts, 852 and 403552, that added together give a palindrome (404404).

The spelling of 852403552 in words is "eight hundred fifty-two million, four hundred three thousand, five hundred fifty-two".