540409736 has 32 divisors (see below), whose sum is σ = 1090477080. Its totient is φ = 250137600.

The previous prime is 540409721. The next prime is 540409741. The reversal of 540409736 is 637904045.

540409736 is digitally balanced in base 2, 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 506700100 + 33709636 = 22510^2 + 5806^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 540409736.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24275 + ... + 40866.

Almost surely, 2^540409736 is an apocalyptic number.

It is an amenable number.

540409736 is an abundant number, since it is smaller than the sum of its proper divisors (550067344).

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

540409736 is a wasteful number, since it uses less digits than its factorization.

540409736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65225 (or 65221 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 540409736 is about 23246.7145205511. The cubic root of 540409736 is about 814.5311948738.

It can be divided in two parts, 540409 and 736, that added together give a palindrome (541145).

The spelling of 540409736 in words is "five hundred forty million, four hundred nine thousand, seven hundred thirty-six".