541199360 has 176 divisors, whose sum is σ = 1436109696. Its totient is φ = 194445312.

The previous prime is 541199359. The next prime is 541199371. The reversal of 541199360 is 63991145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3128234 + ... + 3128406.

Almost surely, 2^541199360 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 541199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718054848).

541199360 is an abundant number, since it is smaller than the sum of its proper divisors (894910336).

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

541199360 is a wasteful number, since it uses less digits than its factorization.

541199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 541199360 is about 23263.6918824163. The cubic root of 541199360 is about 814.9277213932.

The spelling of 541199360 in words is "five hundred forty-one million, one hundred ninety-nine thousand, three hundred sixty".