540400 has 60 divisors (see below), whose sum is σ = 1491472. Its totient is φ = 184320.

The previous prime is 540391. The next prime is 540433. The reversal of 540400 is 4045.

540400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

540400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2704 + ... + 2896.

2⁵⁴⁰⁴⁰⁰ is an apocalyptic number.

540400 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 540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745736).

540400 is an abundant number, since it is smaller than the sum of its proper divisors (951072).

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

540400 is a wasteful number, since it uses less digits than its factorization.

540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 540400 is about 735.1190379796. The cubic root of 540400 is about 81.4526303324.

Adding to 540400 its reverse (4045), we get a palindrome (544445).

It can be divided in two parts, 540 and 400, that multiplied together give a cube (216000 = 60³).

The spelling of 540400 in words is "five hundred forty thousand, four hundred".