540391104 has 336 divisors, whose sum is σ = 1861535520. Its totient is φ = 147947520.

The previous prime is 540391063. The next prime is 540391123. The reversal of 540391104 is 401193045.

540391104 is a `hidden beast` number, since 540 + 3 + 9 + 110 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3123562 + ... + 3123734.

Almost surely, 2^540391104 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 540391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930767760).

540391104 is an abundant number, since it is smaller than the sum of its proper divisors (1321144416).

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

540391104 is a wasteful number, since it uses less digits than its factorization.

540391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

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

The square root of 540391104 is about 23246.3137722952. The cubic root of 540391104 is about 814.5218337548.

The spelling of 540391104 in words is "five hundred forty million, three hundred ninety-one thousand, one hundred four".