540103200 has 288 divisors, whose sum is σ = 2164611456. Its totient is φ = 113909760.

The previous prime is 540103199. The next prime is 540103219. The reversal of 540103200 is 2301045.

It is a super-2 number, since 2×540103200² = 583422933300480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 540103200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217164 + ... + 219636.

It is an arithmetic number, because the mean of its divisors is an integer number (7516012).

Almost surely, 2^540103200 is an apocalyptic number.

540103200 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 540103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082305728).

540103200 is an abundant number, since it is smaller than the sum of its proper divisors (1624508256).

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

540103200 is a wasteful number, since it uses less digits than its factorization.

540103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 540103200 is about 23240.1204816154. The cubic root of 540103200 is about 814.3771572108.

Adding to 540103200 its reverse (2301045), we get a palindrome (542404245).

It can be divided in two parts, 540 and 103200, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 540103200 in words is "five hundred forty million, one hundred three thousand, two hundred".