541382560 has 48 divisors (see below), whose sum is σ = 1287657000. Its totient is φ = 215090176.

The previous prime is 541382551. The next prime is 541382591. The reversal of 541382560 is 65283145.

It can be written as a sum of positive squares in 4 ways, for example, as 138015504 + 403367056 = 11748^2 + 20084^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12486 + ... + 35194.

Almost surely, 2^541382560 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 541382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643828500).

541382560 is an abundant number, since it is smaller than the sum of its proper divisors (746274440).

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

541382560 is a wasteful number, since it uses less digits than its factorization.

541382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22873 (or 22865 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 541382560 is about 23267.6290154369. The cubic root of 541382560 is about 815.0196640469.

The spelling of 541382560 in words is "five hundred forty-one million, three hundred eighty-two thousand, five hundred sixty".