852005484 has 72 divisors (see below), whose sum is σ = 2381734992. Its totient is φ = 254638080.

The previous prime is 852005477. The next prime is 852005503. The reversal of 852005484 is 484500258.

852005484 is a `hidden beast` number, since 8 + 520 + 0 + 54 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 14172 + ... + 43644.

Almost surely, 2^852005484 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 852005484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190867496).

852005484 is an abundant number, since it is smaller than the sum of its proper divisors (1529729508).

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

852005484 is a wasteful number, since it uses less digits than its factorization.

852005484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29567 (or 29562 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 852005484 is about 29189.1329778738. The cubic root of 852005484 is about 948.0126447066.

The spelling of 852005484 in words is "eight hundred fifty-two million, five thousand, four hundred eighty-four".