540585376 has 72 divisors (see below), whose sum is σ = 1135046304. Its totient is φ = 252954240.

The previous prime is 540585371. The next prime is 540585403. The reversal of 540585376 is 673585045.

It is a super-2 number, since 2×540585376² = 584465097490122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540585371) 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 11 ways as a sum of consecutive naturals, for example, 2561911 + ... + 2562121.

It is an arithmetic number, because the mean of its divisors is an integer number (15764532).

Almost surely, 2^540585376 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 540585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567523152).

540585376 is an abundant number, since it is smaller than the sum of its proper divisors (594460928).

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

540585376 is a wasteful number, since it uses less digits than its factorization.

540585376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The square root of 540585376 is about 23250.4919517846. The cubic root of 540585376 is about 814.6194296292.

The spelling of 540585376 in words is "five hundred forty million, five hundred eighty-five thousand, three hundred seventy-six".