540408 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 154880.

The previous prime is 540391. The next prime is 540433. The reversal of 540408 is 804045.

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, 6028 + ... + 6116.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2⁵⁴⁰⁴⁰⁸ 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 540408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

540408 is an abundant number, since it is smaller than the sum of its proper divisors (1014792).

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

540408 is a wasteful number, since it uses less digits than its factorization.

540408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 540408 is about 735.1244792550. The cubic root of 540408 is about 81.4530322679.

The spelling of 540408 in words is "five hundred forty thousand, four hundred eight".