541551200 has 72 divisors (see below), whose sum is σ = 1330492968. Its totient is φ = 215239680.

The previous prime is 541551187. The next prime is 541551217. The reversal of 541551200 is 2155145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128324 + ... + 132476.

It is an arithmetic number, because the mean of its divisors is an integer number (18479069).

Almost surely, 2^541551200 is an apocalyptic number.

541551200 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 541551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665246484).

541551200 is an abundant number, since it is smaller than the sum of its proper divisors (788941768).

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

541551200 is a wasteful number, since it uses less digits than its factorization.

541551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 541551200 is about 23271.2526521457. The cubic root of 541551200 is about 815.1042811349.

It can be divided in two parts, 54155 and 1200, that added together give a palindrome (55355).

The spelling of 541551200 in words is "five hundred forty-one million, five hundred fifty-one thousand, two hundred".