540495936 has 112 divisors (see below), whose sum is σ = 1594713600. Its totient is φ = 179513856.

The previous prime is 540495877. The next prime is 540495953. The reversal of 540495936 is 639594045.

540495936 is a `hidden beast` number, since 54 + 0 + 4 + 9 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 540495891 and 540495900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827386 + ... + 828038.

Almost surely, 2^540495936 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 540495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797356800).

540495936 is an abundant number, since it is smaller than the sum of its proper divisors (1054217664).

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

540495936 is a wasteful number, since it uses less digits than its factorization.

540495936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 540495936 is about 23248.5684720587. The cubic root of 540495936 is about 814.5745008147.

The spelling of 540495936 in words is "five hundred forty million, four hundred ninety-five thousand, nine hundred thirty-six".