540524160 has 384 divisors, whose sum is σ = 2148120000. Its totient is φ = 123863040.

The previous prime is 540524123. The next prime is 540524167. The reversal of 540524160 is 61425045.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (540524167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203616 + ... + 1204064.

Almost surely, 2^540524160 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 540524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074060000).

540524160 is an abundant number, since it is smaller than the sum of its proper divisors (1607595840).

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

540524160 is a wasteful number, since it uses less digits than its factorization.

540524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 540524160 is about 23249.1754692505. The cubic root of 540524160 is about 814.5886792442.

The spelling of 540524160 in words is "five hundred forty million, five hundred twenty-four thousand, one hundred sixty".