578312 has 32 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 236544.

The previous prime is 578311. The next prime is 578317. The reversal of 578312 is 213875.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578311) 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, 1064 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁵⁷⁸³¹² 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 578312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

578312 is an abundant number, since it is smaller than the sum of its proper divisors (717688).

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

578312 is a wasteful number, since it uses less digits than its factorization.

578312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 578312 is about 760.4682767874. The cubic root of 578312 is about 83.3145273119.

It can be divided in two parts, 5783 and 12, that multiplied together give a palindrome (69396).

The spelling of 578312 in words is "five hundred seventy-eight thousand, three hundred twelve".