540858816 has 224 divisors, whose sum is σ = 1689811200. Its totient is φ = 169344000.

The previous prime is 540858811. The next prime is 540858817. The reversal of 540858816 is 618858045.

540858816 is a `hidden beast` number, since 54 + 0 + 8 + 588 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540858811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2154691 + ... + 2154941.

It is an arithmetic number, because the mean of its divisors is an integer number (7543800).

Almost surely, 2^540858816 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 540858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844905600).

540858816 is an abundant number, since it is smaller than the sum of its proper divisors (1148952384).

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

540858816 is a wasteful number, since it uses less digits than its factorization.

540858816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 540858816 is about 23256.3715140604. The cubic root of 540858816 is about 814.7567572991.

The spelling of 540858816 in words is "five hundred forty million, eight hundred fifty-eight thousand, eight hundred sixteen".