540512 has 48 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 217728.

The previous prime is 540511. The next prime is 540517. The reversal of 540512 is 215045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4193 + ... + 4319.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2⁵⁴⁰⁵¹² 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 540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

540512 is an abundant number, since it is smaller than the sum of its proper divisors (749728).

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

540512 is a wasteful number, since it uses less digits than its factorization.

540512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 540512 is about 735.1952121716. The cubic root of 540512 is about 81.4582570684.

Adding to 540512 its reverse (215045), we get a palindrome (755557).

The spelling of 540512 in words is "five hundred forty thousand, five hundred twelve".