541145424 has 80 divisors (see below), whose sum is σ = 1482206720. Its totient is φ = 169827840.

The previous prime is 541145419. The next prime is 541145431. The reversal of 541145424 is 424541145.

It is a super-2 number, since 2×541145424² = 585676739832279552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 541145391 and 541145400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50142 + ... + 59970.

It is an arithmetic number, because the mean of its divisors is an integer number (18527584).

Almost surely, 2^541145424 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 541145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741103360).

541145424 is an abundant number, since it is smaller than the sum of its proper divisors (941061296).

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

541145424 is a wasteful number, since it uses less digits than its factorization.

541145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 9902 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 541145424 is about 23262.5326222232. The cubic root of 541145424 is about 814.9006485589.

Adding to 541145424 its reverse (424541145), we get a palindrome (965686569).

The spelling of 541145424 in words is "five hundred forty-one million, one hundred forty-five thousand, four hundred twenty-four".