540342432 has 144 divisors (see below), whose sum is σ = 1763012160. Its totient is φ = 153778176.

The previous prime is 540342421. The next prime is 540342443. The reversal of 540342432 is 234243045.

It is an interprime number because it is at equal distance from previous prime (540342421) and next prime (540342443).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 540342396 and 540342405.

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 23 ways as a sum of consecutive naturals, for example, 872619 + ... + 873237.

It is an arithmetic number, because the mean of its divisors is an integer number (12243140).

Almost surely, 2^540342432 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 540342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881506080).

540342432 is an abundant number, since it is smaller than the sum of its proper divisors (1222669728).

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

540342432 is a wasteful number, since it uses less digits than its factorization.

540342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 540342432 is about 23245.2668730647. The cubic root of 540342432 is about 814.4973788759.

Adding to 540342432 its reverse (234243045), we get a palindrome (774585477).

The spelling of 540342432 in words is "five hundred forty million, three hundred forty-two thousand, four hundred thirty-two".