541282368 has 168 divisors, whose sum is σ = 1644237504. Its totient is φ = 156738560.

The previous prime is 541282367. The next prime is 541282373. The reversal of 541282368 is 863282145.

It is not an unprimeable number, because it can be changed into a prime (541282367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533830 + ... + 534842.

It is an arithmetic number, because the mean of its divisors is an integer number (9787128).

Almost surely, 2^541282368 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 541282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822118752).

541282368 is an abundant number, since it is smaller than the sum of its proper divisors (1102955136).

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

541282368 is a wasteful number, since it uses less digits than its factorization.

541282368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1052 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 541282368 is about 23265.4758816578. The cubic root of 541282368 is about 814.9693832201.

The spelling of 541282368 in words is "five hundred forty-one million, two hundred eighty-two thousand, three hundred sixty-eight".