540384 has 48 divisors (see below), whose sum is σ = 1531152. Its totient is φ = 165888.

The previous prime is 540383. The next prime is 540389. The reversal of 540384 is 483045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540383) 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, 1032 + ... + 1464.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2⁵⁴⁰³⁸⁴ 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 540384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765576).

540384 is an abundant number, since it is smaller than the sum of its proper divisors (990768).

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

540384 is a wasteful number, since it uses less digits than its factorization.

540384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540384 is about 735.1081553078. The cubic root of 540384 is about 81.4518264495.

The spelling of 540384 in words is "five hundred forty thousand, three hundred eighty-four".