578352852 has 192 divisors, whose sum is σ = 1979873280. Its totient is φ = 141350400.

The previous prime is 578352839. The next prime is 578352857. The reversal of 578352852 is 258253875.

578352852 is a `hidden beast` number, since 5 + 78 + 3 + 528 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 578352798 and 578352807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578352857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139327 + ... + 143417.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^578352852 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 578352852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

578352852 is an abundant number, since it is smaller than the sum of its proper divisors (1401520428).

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

578352852 is a wasteful number, since it uses less digits than its factorization.

578352852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4131 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 578352852 is about 24048.9677948971. The cubic root of 578352852 is about 833.1648904703.

The spelling of 578352852 in words is "five hundred seventy-eight million, three hundred fifty-two thousand, eight hundred fifty-two".