541385280 has 168 divisors, whose sum is σ = 1871164152. Its totient is φ = 143671296.

The previous prime is 541385269. The next prime is 541385287. The reversal of 541385280 is 82583145.

It is a happy number.

541385280 is a `hidden beast` number, since 541 + 38 + 5 + 2 + 80 = 666.

541385280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6110784 + 535274496 = 2472^2 + 23136^2 .

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 (541385287) 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, 912664 + ... + 913256.

Almost surely, 2^541385280 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 541385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935582076).

541385280 is an abundant number, since it is smaller than the sum of its proper divisors (1329778872).

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

541385280 is a wasteful number, since it uses less digits than its factorization.

541385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 541385280 is about 23267.6874656679. The cubic root of 541385280 is about 815.0210289780.

The spelling of 541385280 in words is "five hundred forty-one million, three hundred eighty-five thousand, two hundred eighty".