541727144 has 72 divisors (see below), whose sum is σ = 1204966890. Its totient is φ = 227658816.

The previous prime is 541727141. The next prime is 541727149. The reversal of 541727144 is 441727145.

It can be written as a sum of positive squares in only one way, i.e., 426422500 + 115304644 = 20650^2 + 10738^2 .

It is not an unprimeable number, because it can be changed into a prime (541727141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1364354 + ... + 1364750.

Almost surely, 2^541727144 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 541727144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602483445).

541727144 is an abundant number, since it is smaller than the sum of its proper divisors (663239746).

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

541727144 is a wasteful number, since it uses less digits than its factorization.

541727144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 465 counting only the distinct ones).

The product of its digits is 31360, while the sum is 35.

The square root of 541727144 is about 23275.0326315561. The cubic root of 541727144 is about 815.1925443680.

Subtracting from 541727144 its reverse (441727145), we obtain a palindrome (99999999).

It can be divided in two parts, 54172 and 7144, that added together give a palindrome (61316).

The spelling of 541727144 in words is "five hundred forty-one million, seven hundred twenty-seven thousand, one hundred forty-four".