541306080 has 288 divisors, whose sum is σ = 2139830784. Its totient is φ = 122047488.

The previous prime is 541306063. The next prime is 541306091. The reversal of 541306080 is 80603145.

541306080 is a `hidden beast` number, since 54 + 1 + 3 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 836317 + ... + 836963.

It is an arithmetic number, because the mean of its divisors is an integer number (7429968).

Almost surely, 2^541306080 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 541306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069915392).

541306080 is an abundant number, since it is smaller than the sum of its proper divisors (1598524704).

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

541306080 is a wasteful number, since it uses less digits than its factorization.

541306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 541306080 is about 23265.9854723586. The cubic root of 541306080 is about 814.9812835227.

The spelling of 541306080 in words is "five hundred forty-one million, three hundred six thousand, eighty".