540024200 has 24 divisors (see below), whose sum is σ = 1255556730. Its totient is φ = 216009600.

The previous prime is 540024187. The next prime is 540024203. The reversal of 540024200 is 2420045.

It can be written as a sum of positive squares in 3 ways, for example, as 509043844 + 30980356 = 22562^2 + 5566^2 .

It is a super-2 number, since 2×540024200² = 583252273171280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540024203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1349861 + ... + 1350260.

Almost surely, 2^540024200 is an apocalyptic number.

540024200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540024200 is an abundant number, since it is smaller than the sum of its proper divisors (715532530).

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

540024200 is a wasteful number, since it uses less digits than its factorization.

540024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700137 (or 2700128 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 540024200 is about 23238.4207725052. The cubic root of 540024200 is about 814.3374494090.

Adding to 540024200 its reverse (2420045), we get a palindrome (542444245).

The spelling of 540024200 in words is "five hundred forty million, twenty-four thousand, two hundred".