540096480 has 288 divisors, whose sum is σ = 2298336768. Its totient is φ = 112204800.

The previous prime is 540096467. The next prime is 540096533. The reversal of 540096480 is 84690045.

540096480 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 9 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 108445 + ... + 113315.

It is an arithmetic number, because the mean of its divisors is an integer number (7980336).

Almost surely, 2^540096480 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 540096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149168384).

540096480 is an abundant number, since it is smaller than the sum of its proper divisors (1758240288).

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

540096480 is a wasteful number, since it uses less digits than its factorization.

540096480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 540096480 is about 23239.9759036020. The cubic root of 540096480 is about 814.3737796852.

The spelling of 540096480 in words is "five hundred forty million, ninety-six thousand, four hundred eighty".