578512 has 40 divisors (see below), whose sum is σ = 1294560. Its totient is φ = 247680.

The previous prime is 578509. The next prime is 578533. The reversal of 578512 is 215875.

It is a super-2 number, since 2×578512² = 669352268288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3258 + ... + 3430.

It is an arithmetic number, because the mean of its divisors is an integer number (32364).

2⁵⁷⁸⁵¹² 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 578512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647280).

578512 is an abundant number, since it is smaller than the sum of its proper divisors (716048).

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

578512 is a wasteful number, since it uses less digits than its factorization.

578512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 578512 is about 760.5997633447. The cubic root of 578512 is about 83.3241305393.

It can be divided in two parts, 578 and 512, that multiplied together give a square (295936 = 544²).

The spelling of 578512 in words is "five hundred seventy-eight thousand, five hundred twelve".