541249808 has 80 divisors (see below), whose sum is σ = 1275186240. Its totient is φ = 219340800.

The previous prime is 541249799. The next prime is 541249829. The reversal of 541249808 is 808942145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52088 + ... + 61608.

It is an arithmetic number, because the mean of its divisors is an integer number (15939828).

Almost surely, 2^541249808 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 541249808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637593120).

541249808 is an abundant number, since it is smaller than the sum of its proper divisors (733936432).

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

541249808 is a wasteful number, since it uses less digits than its factorization.

541249808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9576 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 541249808 is about 23264.7761218543. The cubic root of 541249808 is about 814.9530418200.

The spelling of 541249808 in words is "five hundred forty-one million, two hundred forty-nine thousand, eight hundred eight".