540800 has 72 divisors (see below), whose sum is σ = 1446615. Its totient is φ = 199680.

The previous prime is 540781. The next prime is 540803. The reversal of 540800 is 8045.

540800 = 14³ + 15³ + ... + 38³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 33856 + 506944 = 184^2 + 712^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=520.

It is not an unprimeable number, because it can be changed into a prime (540803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41594 + ... + 41606.

2⁵⁴⁰⁸⁰⁰ is an apocalyptic number.

540800 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 540800

540800 is an abundant number, since it is smaller than the sum of its proper divisors (905815).

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

540800 is a wasteful number, since it uses less digits than its factorization.

540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 540800 is about 735.3910524340. The cubic root of 540800 is about 81.4727222499.

Adding to 540800 its reverse (8045), we get a palindrome (548845).

The spelling of 540800 in words is "five hundred forty thousand, eight hundred".