541960848 has 320 divisors, whose sum is σ = 1893212160. Its totient is φ = 146188800.

The previous prime is 541960847. The next prime is 541960873. The reversal of 541960848 is 848069145.

541960848 is a `hidden beast` number, since 541 + 9 + 60 + 8 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (541960847) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1914915 + ... + 1915197.

It is an arithmetic number, because the mean of its divisors is an integer number (5916288).

Almost surely, 2^541960848 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 541960848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946606080).

541960848 is an abundant number, since it is smaller than the sum of its proper divisors (1351251312).

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

541960848 is a wasteful number, since it uses less digits than its factorization.

541960848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 541960848 is about 23280.0525772602. The cubic root of 541960848 is about 815.3097536623.

The spelling of 541960848 in words is "five hundred forty-one million, nine hundred sixty thousand, eight hundred forty-eight".