540510400 has 84 divisors (see below), whose sum is σ = 1335115440. Its totient is φ = 215372800.

The previous prime is 540510379. The next prime is 540510401. The reversal of 540510400 is 4015045.

It is not an unprimeable number, because it can be changed into a prime (540510401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573930 + ... + 574870.

Almost surely, 2^540510400 is an apocalyptic number.

540510400 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 540510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667557720).

540510400 is an abundant number, since it is smaller than the sum of its proper divisors (794605040).

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

540510400 is a wasteful number, since it uses less digits than its factorization.

540510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 540510400 is about 23248.8795428941. The cubic root of 540510400 is about 814.5817669196.

Adding to 540510400 its reverse (4015045), we get a palindrome (544525445).

The spelling of 540510400 in words is "five hundred forty million, five hundred ten thousand, four hundred".