540455616 has 84 divisors (see below), whose sum is σ = 1556153352. Its totient is φ = 179334144.

The previous prime is 540455603. The next prime is 540455639. The reversal of 540455616 is 616554045.

540455616 is a `hidden beast` number, since 54 + 0 + 45 + 561 + 6 = 666.

It is a super-3 number, since 3×540455616³ (a number of 27 digits) contains 333 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 132195 + ... + 136221.

Almost surely, 2^540455616 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 540455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778076676).

540455616 is an abundant number, since it is smaller than the sum of its proper divisors (1015697736).

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

540455616 is a wasteful number, since it uses less digits than its factorization.

540455616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4265 counting only the distinct ones).

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

The square root of 540455616 is about 23247.7013057205. The cubic root of 540455616 is about 814.5542450592.

The spelling of 540455616 in words is "five hundred forty million, four hundred fifty-five thousand, six hundred sixteen".