540205416 has 256 divisors, whose sum is σ = 1693440000. Its totient is φ = 158754816.

The previous prime is 540205361. The next prime is 540205429. The reversal of 540205416 is 614502045.

540205416 is a `hidden beast` number, since 5 + 40 + 205 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 540205416.

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 63 ways as a sum of consecutive naturals, for example, 5569080 + ... + 5569176.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^540205416 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 540205416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720000).

540205416 is an abundant number, since it is smaller than the sum of its proper divisors (1153234584).

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

540205416 is a wasteful number, since it uses less digits than its factorization.

540205416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 540205416 is about 23242.3195055915. The cubic root of 540205416 is about 814.4285283345.

The spelling of 540205416 in words is "five hundred forty million, two hundred five thousand, four hundred sixteen".