540556416 has 128 divisors (see below), whose sum is σ = 1615924800. Its totient is φ = 180092160.

The previous prime is 540556369. The next prime is 540556417. The reversal of 540556416 is 614655045.

540556416 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (540556417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278971 + ... + 280901.

Almost surely, 2^540556416 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 540556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807962400).

540556416 is an abundant number, since it is smaller than the sum of its proper divisors (1075368384).

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

540556416 is an frugal number, since it uses more digits than its factorization.

540556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 540556416 is about 23249.8691609222. The cubic root of 540556416 is about 814.6048825592.

The spelling of 540556416 in words is "five hundred forty million, five hundred fifty-six thousand, four hundred sixteen".