540213440 has 224 divisors, whose sum is σ = 1474744320. Its totient is φ = 187084800.

The previous prime is 540213439. The next prime is 540213451. The reversal of 540213440 is 44312045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7608605 + ... + 7608675.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^540213440 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 540213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

540213440 is an abundant number, since it is smaller than the sum of its proper divisors (934530880).

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

540213440 is a wasteful number, since it uses less digits than its factorization.

540213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 540213440 is about 23242.4921211130. The cubic root of 540213440 is about 814.4325607154.

Adding to 540213440 its reverse (44312045), we get a palindrome (584525485).

The spelling of 540213440 in words is "five hundred forty million, two hundred thirteen thousand, four hundred forty".