540264960 has 240 divisors, whose sum is σ = 1895905440. Its totient is φ = 142172160.

The previous prime is 540264941. The next prime is 540265001. The reversal of 540264960 is 69462045.

540264960 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 649 + 6 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3018151 + ... + 3018329.

It is an arithmetic number, because the mean of its divisors is an integer number (7899606).

Almost surely, 2^540264960 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 540264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947952720).

540264960 is an abundant number, since it is smaller than the sum of its proper divisors (1355640480).

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

540264960 is a wasteful number, since it uses less digits than its factorization.

540264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 540264960 is about 23243.6004095751. The cubic root of 540264960 is about 814.4584506253.

The spelling of 540264960 in words is "five hundred forty million, two hundred sixty-four thousand, nine hundred sixty".