540208416 has 96 divisors (see below), whose sum is σ = 1556428608. Its totient is φ = 162698240.

The previous prime is 540208397. The next prime is 540208421. The reversal of 540208416 is 614802045.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181210 + ... + 184166.

It is an arithmetic number, because the mean of its divisors is an integer number (16212798).

Almost surely, 2^540208416 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 540208416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778214304).

540208416 is an abundant number, since it is smaller than the sum of its proper divisors (1016220192).

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

540208416 is a wasteful number, since it uses less digits than its factorization.

540208416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 540208416 is about 23242.3840429505. The cubic root of 540208416 is about 814.4300359591.

The spelling of 540208416 in words is "five hundred forty million, two hundred eight thousand, four hundred sixteen".