852449184 has 240 divisors, whose sum is σ = 2663781120. Its totient is φ = 266872320.

The previous prime is 852449177. The next prime is 852449189. The reversal of 852449184 is 481944258.

852449184 is a `hidden beast` number, since 8 + 524 + 49 + 1 + 84 = 666.

It is a super-2 number, since 2×852449184² = 1453339222604531712, which contains 22 as substring.

Its product of digits (368640) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852449189) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4709574 + ... + 4709754.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2^852449184 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 852449184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331890560).

852449184 is an abundant number, since it is smaller than the sum of its proper divisors (1811331936).

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

852449184 is a wasteful number, since it uses less digits than its factorization.

852449184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 852449184 is about 29196.7324199130. The cubic root of 852449184 is about 948.1771820723.

The spelling of 852449184 in words is "eight hundred fifty-two million, four hundred forty-nine thousand, one hundred eighty-four".