541502208 has 216 divisors, whose sum is σ = 1707516720. Its totient is φ = 164044800.

The previous prime is 541502201. The next prime is 541502231. The reversal of 541502208 is 802205145.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (541502201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3025063 + ... + 3025241.

It is an arithmetic number, because the mean of its divisors is an integer number (7905170).

Almost surely, 2^541502208 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 541502208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853758360).

541502208 is an abundant number, since it is smaller than the sum of its proper divisors (1166014512).

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

541502208 is a wasteful number, since it uses less digits than its factorization.

541502208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 541502208 is about 23270.1999991405. The cubic root of 541502208 is about 815.0797006378.

The spelling of 541502208 in words is "five hundred forty-one million, five hundred two thousand, two hundred eight".