540034461 has 12 divisors (see below), whose sum is σ = 825935292. Its totient is φ = 338845056.

The previous prime is 540034421. The next prime is 540034471. The reversal of 540034461 is 164430045.

It can be written as a sum of positive squares in 2 ways, for example, as 371294361 + 168740100 = 19269^2 + 12990^2 .

It is not a de Polignac number, because 540034461 - 2¹⁰ = 540033437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540034421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1764666 + ... + 1764971.

It is an arithmetic number, because the mean of its divisors is an integer number (68827941).

Almost surely, 2^540034461 is an apocalyptic number.

540034461 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

540034461 is a deficient number, since it is larger than the sum of its proper divisors (285900831).

540034461 is a wasteful number, since it uses less digits than its factorization.

540034461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529660 (or 3529657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540034461 is about 23238.6415480768. The cubic root of 540034461 is about 814.3426071184.

The spelling of 540034461 in words is "five hundred forty million, thirty-four thousand, four hundred sixty-one".