540305400 has 96 divisors (see below), whose sum is σ = 1682749440. Its totient is φ = 143410560.

The previous prime is 540305387. The next prime is 540305401. The reversal of 540305400 is 4503045.

It is a happy number.

540305400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540305401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134217 + ... + 138183.

It is an arithmetic number, because the mean of its divisors is an integer number (17528640).

Almost surely, 2^540305400 is an apocalyptic number.

540305400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841374720).

540305400 is an abundant number, since it is smaller than the sum of its proper divisors (1142444040).

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

540305400 is a wasteful number, since it uses less digits than its factorization.

540305400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 540305400 is about 23244.4703101619. The cubic root of 540305400 is about 814.4787714434.

Adding to 540305400 its reverse (4503045), we get a palindrome (544808445).

The spelling of 540305400 in words is "five hundred forty million, three hundred five thousand, four hundred".