540024100 has 216 divisors, whose sum is σ = 1528214688. Its totient is φ = 163699200.

The previous prime is 540024097. The next prime is 540024157. The reversal of 540024100 is 1420045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2317584 + ... + 2317816.

It is an arithmetic number, because the mean of its divisors is an integer number (7075068).

Almost surely, 2^540024100 is an apocalyptic number.

540024100 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 540024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764107344).

540024100 is an abundant number, since it is smaller than the sum of its proper divisors (988190588).

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

540024100 is a wasteful number, since it uses less digits than its factorization.

540024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 540024100 is about 23238.4186208959. The cubic root of 540024100 is about 814.3373991435.

Adding to 540024100 its reverse (1420045), we get a palindrome (541444145).

The spelling of 540024100 in words is "five hundred forty million, twenty-four thousand, one hundred".