541381344 has 192 divisors, whose sum is σ = 1691891712. Its totient is φ = 148377600.

The previous prime is 541381327. The next prime is 541381349. The reversal of 541381344 is 443183145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541381349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1926484 + ... + 1926764.

It is an arithmetic number, because the mean of its divisors is an integer number (8811936).

Almost surely, 2^541381344 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 541381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845945856).

541381344 is an abundant number, since it is smaller than the sum of its proper divisors (1150510368).

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

541381344 is a wasteful number, since it uses less digits than its factorization.

541381344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 541381344 is about 23267.6028846979. The cubic root of 541381344 is about 815.0190538409.

The spelling of 541381344 in words is "five hundred forty-one million, three hundred eighty-one thousand, three hundred forty-four".