540413444 has 24 divisors (see below), whose sum is σ = 951319320. Its totient is φ = 268614144.

The previous prime is 540413437. The next prime is 540413449. The reversal of 540413444 is 444314045.

It can be written as a sum of positive squares in 4 ways, for example, as 315844 + 540097600 = 562^2 + 23240^2 .

It is a super-2 number, since 2×540413444² = 584093380911882272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540413449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881282 + ... + 881894.

It is an arithmetic number, because the mean of its divisors is an integer number (39638305).

Almost surely, 2^540413444 is an apocalyptic number.

It is an amenable number.

540413444 is a deficient number, since it is larger than the sum of its proper divisors (410905876).

540413444 is a wasteful number, since it uses less digits than its factorization.

540413444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 540413444 is about 23246.7942736197. The cubic root of 540413444 is about 814.5330578274.

Adding to 540413444 its reverse (444314045), we get a palindrome (984727489).

The spelling of 540413444 in words is "five hundred forty million, four hundred thirteen thousand, four hundred forty-four".