540312 has 32 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 175904.

The previous prime is 540307. The next prime is 540343. The reversal of 540312 is 213045.

It is a junction number, because it is equal to n+sod(n) for n = 540291 and 540300.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540312.

It is an unprimeable number.

540312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2⁵⁴⁰³¹² 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 540312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

540312 is an abundant number, since it is smaller than the sum of its proper divisors (842088).

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

540312 is a wasteful number, since it uses less digits than its factorization.

540312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 540312 is about 735.0591812909. The cubic root of 540312 is about 81.4482087801.

Adding to 540312 its reverse (213045), we get a palindrome (753357).

The spelling of 540312 in words is "five hundred forty thousand, three hundred twelve".