541285824 has 112 divisors (see below), whose sum is σ = 1479133440. Its totient is φ = 174612480.

The previous prime is 541285819. The next prime is 541285847. The reversal of 541285824 is 428582145.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 803952 + ... + 804624.

Almost surely, 2^541285824 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 541285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739566720).

541285824 is an abundant number, since it is smaller than the sum of its proper divisors (937847616).

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

541285824 is a wasteful number, since it uses less digits than its factorization.

541285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its digits is 102400, while the sum is 39.

The square root of 541285824 is about 23265.5501546815. The cubic root of 541285824 is about 814.9711176988.

The spelling of 541285824 in words is "five hundred forty-one million, two hundred eighty-five thousand, eight hundred twenty-four".