541036200 has 96 divisors (see below), whose sum is σ = 1722612960. Its totient is φ = 140371200.

The previous prime is 541036193. The next prime is 541036201. The reversal of 541036200 is 2630145.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (541036201) 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, 10015 + ... + 34385.

It is an arithmetic number, because the mean of its divisors is an integer number (17943885).

Almost surely, 2^541036200 is an apocalyptic number.

541036200 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 541036200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861306480).

541036200 is an abundant number, since it is smaller than the sum of its proper divisors (1181576760).

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

541036200 is a wasteful number, since it uses less digits than its factorization.

541036200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24427 (or 24418 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 541036200 is about 23260.1848659894. The cubic root of 541036200 is about 814.8458187519.

Adding to 541036200 its reverse (2630145), we get a palindrome (543666345).

The spelling of 541036200 in words is "five hundred forty-one million, thirty-six thousand, two hundred".