541838304 has 144 divisors (see below), whose sum is σ = 1768017888. Its totient is φ = 154192896.

The previous prime is 541838303. The next prime is 541838317. The reversal of 541838304 is 403838145.

541838304 is a `hidden beast` number, since 541 + 83 + 8 + 30 + 4 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541838303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800014 + ... + 800690.

It is an arithmetic number, because the mean of its divisors is an integer number (12277902).

Almost surely, 2^541838304 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 541838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884008944).

541838304 is an abundant number, since it is smaller than the sum of its proper divisors (1226179584).

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

541838304 is a wasteful number, since it uses less digits than its factorization.

541838304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 541838304 is about 23277.4204756455. The cubic root of 541838304 is about 815.2482985159.

The spelling of 541838304 in words is "five hundred forty-one million, eight hundred thirty-eight thousand, three hundred four".