540904 has 32 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 213696.

The previous prime is 540901. The next prime is 540907. The reversal of 540904 is 409045.

It is an interprime number because it is at equal distance from previous prime (540901) and next prime (540907).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 1099.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁵⁴⁰⁹⁰⁴ 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 540904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

540904 is an abundant number, since it is smaller than the sum of its proper divisors (709016).

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

540904 is a wasteful number, since it uses less digits than its factorization.

540904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 540904 is about 735.4617597129. The cubic root of 540904 is about 81.4779445256.

Adding to 540904 its reverse (409045), we get a palindrome (949949).

It can be divided in two parts, 540 and 904, that added together give a square (1444 = 38²).

The spelling of 540904 in words is "five hundred forty thousand, nine hundred four".