540100000 has 144 divisors (see below), whose sum is σ = 1452844512. Its totient is φ = 196000000.

The previous prime is 540099991. The next prime is 540100003. The reversal of 540100000 is 1045.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 540100000.

It is not an unprimeable number, because it can be changed into a prime (540100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099755 + ... + 1100245.

It is an arithmetic number, because the mean of its divisors is an integer number (10089198).

Almost surely, 2^540100000 is an apocalyptic number.

540100000 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 540100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726422256).

540100000 is an abundant number, since it is smaller than the sum of its proper divisors (912744512).

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

540100000 is an equidigital number, since it uses as much as digits as its factorization.

540100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 540100000 is about 23240.0516350545. The cubic root of 540100000 is about 814.3755488688.

Adding to 540100000 its reverse (1045), we get a palindrome (540101045).

The spelling of 540100000 in words is "five hundred forty million, one hundred thousand".