540416 has 18 divisors (see below), whose sum is σ = 1079232. Its totient is φ = 270080.

The previous prime is 540391. The next prime is 540433. The reversal of 540416 is 614045.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

540416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 800 + ... + 1311.

2⁵⁴⁰⁴¹⁶ is an apocalyptic number.

It is an amenable number.

540416 is a deficient number, since it is larger than the sum of its proper divisors (538816).

540416 is an equidigital number, since it uses as much as digits as its factorization.

540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 540416 is about 735.1299204902. The cubic root of 540416 is about 81.4534341994.

The spelling of 540416 in words is "five hundred forty thousand, four hundred sixteen".