540248544 has 216 divisors, whose sum is σ = 1738474920. Its totient is φ = 158906880.

The previous prime is 540248543. The next prime is 540248549. The reversal of 540248544 is 445842045.

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

It is a junction number, because it is equal to n+sod(n) for n = 540248499 and 540248508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540248543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1289167 + ... + 1289585.

It is an arithmetic number, because the mean of its divisors is an integer number (8048495).

Almost surely, 2^540248544 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 540248544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869237460).

540248544 is an abundant number, since it is smaller than the sum of its proper divisors (1198226376).

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

540248544 is a wasteful number, since it uses less digits than its factorization.

540248544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 540248544 is about 23243.2472774352. The cubic root of 540248544 is about 814.4502014103.

The spelling of 540248544 in words is "five hundred forty million, two hundred forty-eight thousand, five hundred forty-four".