541850384 has 80 divisors (see below), whose sum is σ = 1166911920. Its totient is φ = 242565120.

The previous prime is 541850377. The next prime is 541850437. The reversal of 541850384 is 483058145.

It can be written as a sum of positive squares in 8 ways, for example, as 34339600 + 507510784 = 5860^2 + 22528^2 .

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 15 ways as a sum of consecutive naturals, for example, 575354 + ... + 576294.

It is an arithmetic number, because the mean of its divisors is an integer number (14586399).

Almost surely, 2^541850384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541850384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583455960).

541850384 is an abundant number, since it is smaller than the sum of its proper divisors (625061536).

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

541850384 is a wasteful number, since it uses less digits than its factorization.

541850384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 541850384 is about 23277.6799531225. The cubic root of 541850384 is about 815.2543569816.

The spelling of 541850384 in words is "five hundred forty-one million, eight hundred fifty thousand, three hundred eighty-four".