540097376 has 144 divisors (see below), whose sum is σ = 1359281952. Its totient is φ = 205701120.

The previous prime is 540097357. The next prime is 540097379. The reversal of 540097376 is 673790045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540097379) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2798336 + ... + 2798528.

It is an arithmetic number, because the mean of its divisors is an integer number (9439458).

Almost surely, 2^540097376 is an apocalyptic number.

540097376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540097376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679640976).

540097376 is an abundant number, since it is smaller than the sum of its proper divisors (819184576).

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

540097376 is a wasteful number, since it uses less digits than its factorization.

540097376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 540097376 is about 23239.9951807224. The cubic root of 540097376 is about 814.3742300236.

The spelling of 540097376 in words is "five hundred forty million, ninety-seven thousand, three hundred seventy-six".