384564852 has 72 divisors (see below), whose sum is σ = 1116862656. Its totient is φ = 109292544.

The previous prime is 384564847. The next prime is 384564931. The reversal of 384564852 is 258465483.

384564852 is a `hidden beast` number, since 3 + 8 + 4 + 564 + 85 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 384564798 and 384564807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44683 + ... + 52589.

Almost surely, 2^384564852 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 384564852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558431328).

384564852 is an abundant number, since it is smaller than the sum of its proper divisors (732297804).

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

384564852 is a wasteful number, since it uses less digits than its factorization.

384564852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8112 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 384564852 is about 19610.3251375392. The cubic root of 384564852 is about 727.2044528768.

The spelling of 384564852 in words is "three hundred eighty-four million, five hundred sixty-four thousand, eight hundred fifty-two".