540786480 has 240 divisors, whose sum is σ = 1851667200. Its totient is φ = 130470912.

The previous prime is 540786479. The next prime is 540786523. The reversal of 540786480 is 84687045.

540786480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2717421 + ... + 2717619.

It is an arithmetic number, because the mean of its divisors is an integer number (7715280).

Almost surely, 2^540786480 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 540786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925833600).

540786480 is an abundant number, since it is smaller than the sum of its proper divisors (1310880720).

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

540786480 is a wasteful number, since it uses less digits than its factorization.

540786480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 540786480 is about 23254.8162753439. The cubic root of 540786480 is about 814.7204330492.

The spelling of 540786480 in words is "five hundred forty million, seven hundred eighty-six thousand, four hundred eighty".