541200 has 120 divisors (see below), whose sum is σ = 1937376. Its totient is φ = 128000.

The previous prime is 541193. The next prime is 541201. The reversal of 541200 is 2145.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 15 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541200.

It is not an unprimeable number, because it can be changed into a prime (541201) by changing a digit.

541200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13180 + ... + 13220.

2⁵⁴¹²⁰⁰ is an apocalyptic number.

541200 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 541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968688).

541200 is an abundant number, since it is smaller than the sum of its proper divisors (1396176).

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

541200 is a wasteful number, since it uses less digits than its factorization.

541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 541200 is about 735.6629663100. The cubic root of 541200 is about 81.4928042626.

541200 divided by its product of nonzero digits (40) gives a triangular number (13530 = T₁₆₄).

Adding to 541200 its reverse (2145), we get a palindrome (543345).

It can be divided in two parts, 541 and 200, that added together give a triangular number (741 = T₃₈).

The spelling of 541200 in words is "five hundred forty-one thousand, two hundred".