540417 has 12 divisors (see below), whose sum is σ = 762000. Its totient is φ = 340632.

The previous prime is 540391. The next prime is 540433. The reversal of 540417 is 714045.

It is a de Polignac number, because none of the positive numbers 2^k-540417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540393 and 540402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540417.

It is not an unprimeable number, because it can be changed into a prime (540437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (63500).

2⁵⁴⁰⁴¹⁷ is an apocalyptic number.

540417 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

540417 is a deficient number, since it is larger than the sum of its proper divisors (221583).

540417 is a wasteful number, since it uses less digits than its factorization.

540417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 540417 is about 735.1306006418. The cubic root of 540417 is about 81.4534844406.

The spelling of 540417 in words is "five hundred forty thousand, four hundred seventeen".