541785200 has 120 divisors (see below), whose sum is σ = 1444728960. Its totient is φ = 193580800.

The previous prime is 541785197. The next prime is 541785203. The reversal of 541785200 is 2587145.

It is an interprime number because it is at equal distance from previous prime (541785197) and next prime (541785203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541785203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 258557 + ... + 260643.

It is an arithmetic number, because the mean of its divisors is an integer number (12039408).

Almost surely, 2^541785200 is an apocalyptic number.

541785200 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 541785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722364480).

541785200 is an abundant number, since it is smaller than the sum of its proper divisors (902943760).

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

541785200 is a wasteful number, since it uses less digits than its factorization.

541785200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 541785200 is about 23276.2797714755. The cubic root of 541785200 is about 815.2216642724.

The spelling of 541785200 in words is "five hundred forty-one million, seven hundred eighty-five thousand, two hundred".