541480608 has 144 divisors (see below), whose sum is σ = 1591349760. Its totient is φ = 174555648.

The previous prime is 541480603. The next prime is 541480631. The reversal of 541480608 is 806084145.

541480608 is a `hidden beast` number, since 5 + 4 + 1 + 48 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (541480603) 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, 1475241 + ... + 1475607.

It is an arithmetic number, because the mean of its divisors is an integer number (11051040).

Almost surely, 2^541480608 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 541480608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795674880).

541480608 is an abundant number, since it is smaller than the sum of its proper divisors (1049869152).

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

541480608 is a wasteful number, since it uses less digits than its factorization.

541480608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

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

The square root of 541480608 is about 23269.7358816124. The cubic root of 541480608 is about 815.0688629130.

The spelling of 541480608 in words is "five hundred forty-one million, four hundred eighty thousand, six hundred eight".