512288 has 24 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 219456.

The previous prime is 512287. The next prime is 512311. The reversal of 512288 is 882215.

It is a super-3 number, since 3×512288³ = 403333043525615616, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (512287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 920 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (48048).

2⁵¹²²⁸⁸ is an apocalyptic number.

It is an amenable number.

512288 is an abundant number, since it is smaller than the sum of its proper divisors (640864).

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

512288 is a wasteful number, since it uses less digits than its factorization.

512288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2296 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 512288 is about 715.7429706256. The cubic root of 512288 is about 80.0149971884.

It can be divided in two parts, 512 and 288, that multiplied together give a square (147456 = 384²).

The spelling of 512288 in words is "five hundred twelve thousand, two hundred eighty-eight".