540510048 has 144 divisors (see below), whose sum is σ = 1709076096. Its totient is φ = 160911360.

The previous prime is 540510013. The next prime is 540510071. The reversal of 540510048 is 840015045.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×540510048² = 584302223977924608, which contains 22 as substring.

It is a congruent number.

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, 113736 + ... + 118392.

It is an arithmetic number, because the mean of its divisors is an integer number (11868584).

Almost surely, 2^540510048 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 540510048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854538048).

540510048 is an abundant number, since it is smaller than the sum of its proper divisors (1168566048).

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

540510048 is a wasteful number, since it uses less digits than its factorization.

540510048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 540510048 is about 23248.8719726356. The cubic root of 540510048 is about 814.5815900911.

The spelling of 540510048 in words is "five hundred forty million, five hundred ten thousand, forty-eight".