541323200 has 84 divisors (see below), whose sum is σ = 1453130952. Its totient is φ = 196838400.

The previous prime is 541323199. The next prime is 541323227. The reversal of 541323200 is 2323145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2222 + ... + 32978.

It is an arithmetic number, because the mean of its divisors is an integer number (17299178).

Almost surely, 2^541323200 is an apocalyptic number.

541323200 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 541323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726565476).

541323200 is an abundant number, since it is smaller than the sum of its proper divisors (911807752).

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

541323200 is a wasteful number, since it uses less digits than its factorization.

541323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30790 (or 30775 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 541323200 is about 23266.3533885308. The cubic root of 541323200 is about 814.9898752929.

Adding to 541323200 its reverse (2323145), we get a palindrome (543646345).

The spelling of 541323200 in words is "five hundred forty-one million, three hundred twenty-three thousand, two hundred".