541086048 has 96 divisors (see below), whose sum is σ = 1582247520. Its totient is φ = 179896320.

The previous prime is 541086041. The next prime is 541086067. The reversal of 541086048 is 840680145.

541086048 is a `hidden beast` number, since 5 + 41 + 0 + 8 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×541086048² = 585548222680516608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541086041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553336 + ... + 554312.

It is an arithmetic number, because the mean of its divisors is an integer number (16481745).

Almost surely, 2^541086048 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 541086048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791123760).

541086048 is an abundant number, since it is smaller than the sum of its proper divisors (1041161472).

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

541086048 is a wasteful number, since it uses less digits than its factorization.

541086048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 541086048 is about 23261.2563719159. The cubic root of 541086048 is about 814.8708430707.

The spelling of 541086048 in words is "five hundred forty-one million, eighty-six thousand, forty-eight".