578208 has 48 divisors (see below), whose sum is σ = 1602720. Its totient is φ = 182016.

The previous prime is 578203. The next prime is 578209. The reversal of 578208 is 802875.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (578203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (33390).

2⁵⁷⁸²⁰⁸ 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 578208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801360).

578208 is an abundant number, since it is smaller than the sum of its proper divisors (1024512).

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

578208 is a wasteful number, since it uses less digits than its factorization.

578208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 578208 is about 760.3998947922. The cubic root of 578208 is about 83.3095327586.

It can be divided in two parts, 57 and 8208, that multiplied together give a square (467856 = 684²).

The spelling of 578208 in words is "five hundred seventy-eight thousand, two hundred eight".