540738944 has 32 divisors (see below), whose sum is σ = 1081936440. Its totient is φ = 269194240.

The previous prime is 540738937. The next prime is 540738967. The reversal of 540738944 is 449837045.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×540738944³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540738895 and 540738904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20759 + ... + 38889.

Almost surely, 2^540738944 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 540738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540968220).

540738944 is an abundant number, since it is smaller than the sum of its proper divisors (541197496).

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

540738944 is a wasteful number, since it uses less digits than its factorization.

540738944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18378 (or 18366 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 540738944 is about 23253.7941850357. The cubic root of 540738944 is about 814.6965606049.

The spelling of 540738944 in words is "five hundred forty million, seven hundred thirty-eight thousand, nine hundred forty-four".