540364600 has 48 divisors (see below), whose sum is σ = 1262754000. Its totient is φ = 215043840.

The previous prime is 540364589. The next prime is 540364603. The reversal of 540364600 is 6463045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540364603) 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 11 ways as a sum of consecutive naturals, for example, 33012 + ... + 46588.

It is an arithmetic number, because the mean of its divisors is an integer number (26307375).

Almost surely, 2^540364600 is an apocalyptic number.

540364600 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 540364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631377000).

540364600 is an abundant number, since it is smaller than the sum of its proper divisors (722389400).

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

540364600 is a wasteful number, since it uses less digits than its factorization.

540364600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792 (or 13783 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 540364600 is about 23245.7436964275. The cubic root of 540364600 is about 814.5085172022.

The spelling of 540364600 in words is "five hundred forty million, three hundred sixty-four thousand, six hundred".