540304 has 10 divisors (see below), whose sum is σ = 1046870. Its totient is φ = 270144.

The previous prime is 540301. The next prime is 540307. The reversal of 540304 is 403045.

It is an interprime number because it is at equal distance from previous prime (540301) and next prime (540307).

It can be written as a sum of positive squares in only one way, i.e., 518400 + 21904 = 720^2 + 148^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 33769 = 540304 / (5 + 4 + 0 + 3 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16869 + ... + 16900.

It is an arithmetic number, because the mean of its divisors is an integer number (104687).

2⁵⁴⁰³⁰⁴ is an apocalyptic number.

It is an amenable number.

540304 is a deficient number, since it is larger than the sum of its proper divisors (506566).

540304 is a wasteful number, since it uses less digits than its factorization.

540304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33777 (or 33771 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 540304 is about 735.0537395320. The cubic root of 540304 is about 81.4478067970.

Adding to 540304 its reverse (403045), we get a palindrome (943349).

The spelling of 540304 in words is "five hundred forty thousand, three hundred four".