541024 has 48 divisors (see below), whose sum is σ = 1224720. Its totient is φ = 232960.

The previous prime is 541007. The next prime is 541027. The reversal of 541024 is 420145.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 540989 and 541007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541027) by changing a digit.

541024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10182 + ... + 10234.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2⁵⁴¹⁰²⁴ 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 541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612360).

541024 is an abundant number, since it is smaller than the sum of its proper divisors (683696).

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

541024 is a wasteful number, since it uses less digits than its factorization.

541024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 541024 is about 735.5433365887. The cubic root of 541024 is about 81.4839693965.

Adding to 541024 its reverse (420145), we get a palindrome (961169).

It can be divided in two parts, 5 and 41024, that multiplied together give a triangular number (205120 = T₆₄₀).

The spelling of 541024 in words is "five hundred forty-one thousand, twenty-four".