540854080 has 168 divisors, whose sum is σ = 1424022552. Its totient is φ = 195526656.

The previous prime is 540854071. The next prime is 540854101. The reversal of 540854080 is 80458045.

It can be written as a sum of positive squares in 12 ways, for example, as 265559616 + 275294464 = 16296^2 + 16592^2 .

It is a congruent number.

It is an unprimeable number.

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, 3947772 + ... + 3947908.

Almost surely, 2^540854080 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 540854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712011276).

540854080 is an abundant number, since it is smaller than the sum of its proper divisors (883168472).

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

540854080 is a wasteful number, since it uses less digits than its factorization.

540854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 540854080 is about 23256.2696922787. The cubic root of 540854080 is about 814.7543791682.

The spelling of 540854080 in words is "five hundred forty million, eight hundred fifty-four thousand, eighty".