540114400 has 144 divisors (see below), whose sum is σ = 1542651264. Its totient is φ = 180794880.

The previous prime is 540114397. The next prime is 540114409. The reversal of 540114400 is 4411045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540114409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239679 + ... + 241921.

It is an arithmetic number, because the mean of its divisors is an integer number (10712856).

Almost surely, 2^540114400 is an apocalyptic number.

540114400 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 540114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771325632).

540114400 is an abundant number, since it is smaller than the sum of its proper divisors (1002536864).

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

540114400 is a wasteful number, since it uses less digits than its factorization.

540114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 540114400 is about 23240.3614429724. The cubic root of 540114400 is about 814.3827863579.

Adding to 540114400 its reverse (4411045), we get a palindrome (544525445).

The spelling of 540114400 in words is "five hundred forty million, one hundred fourteen thousand, four hundred".