541504 has 14 divisors (see below), whose sum is σ = 1074674. Its totient is φ = 270720.

The previous prime is 541483. The next prime is 541507. The reversal of 541504 is 405145.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 23104 = 720^2 + 152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541507) by changing a digit.

541504 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 as a sum of consecutive naturals, namely, 4167 + ... + 4294.

2⁵⁴¹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

541504 is a deficient number, since it is larger than the sum of its proper divisors (533170).

541504 is an equidigital number, since it uses as much as digits as its factorization.

541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 541504 is about 735.8695536574. The cubic root of 541504 is about 81.5080599755.

Adding to 541504 its reverse (405145), we get a palindrome (946649).

The spelling of 541504 in words is "five hundred forty-one thousand, five hundred four".