540413 has 8 divisors (see below), whose sum is σ = 580608. Its totient is φ = 501184.

The previous prime is 540391. The next prime is 540433. The reversal of 540413 is 314045.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540413 - 2⁶ = 540349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540391 and 540400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1220 + ... + 1602.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2⁵⁴⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

540413 is a deficient number, since it is larger than the sum of its proper divisors (40195).

540413 is a wasteful number, since it uses less digits than its factorization.

540413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 540413 is about 735.1278800318. The cubic root of 540413 is about 81.4532834756.

Adding to 540413 its reverse (314045), we get a palindrome (854458).

The spelling of 540413 in words is "five hundred forty thousand, four hundred thirteen".