540319104 has 192 divisors, whose sum is σ = 1694893200. Its totient is φ = 164229120.

The previous prime is 540319099. The next prime is 540319139. The reversal of 540319104 is 401913045.

540319104 is a `hidden beast` number, since 540 + 3 + 19 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1632219 + ... + 1632549.

Almost surely, 2^540319104 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 540319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847446600).

540319104 is an abundant number, since it is smaller than the sum of its proper divisors (1154574096).

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

540319104 is a wasteful number, since it uses less digits than its factorization.

540319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 540319104 is about 23244.7650880795. The cubic root of 540319104 is about 814.4856573778.

The spelling of 540319104 in words is "five hundred forty million, three hundred nineteen thousand, one hundred four".