540540416 has 60 divisors (see below), whose sum is σ = 1169681832. Its totient is φ = 249440256.

The previous prime is 540540379. The next prime is 540540491. The reversal of 540540416 is 614045045.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 83405 + ... + 89651.

Almost surely, 2^540540416 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 540540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584840916).

540540416 is an abundant number, since it is smaller than the sum of its proper divisors (629141416).

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

540540416 is an equidigital number, since it uses as much as digits as its factorization.

540540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 540540416 is about 23249.5250704181. The cubic root of 540540416 is about 814.5968452811.

The spelling of 540540416 in words is "five hundred forty million, five hundred forty thousand, four hundred sixteen".