540456007 has 16 divisors (see below), whose sum is σ = 700188160. Its totient is φ = 405106272.

The previous prime is 540455987. The next prime is 540456017. The reversal of 540456007 is 700654045.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 540456007 - 2⁷ = 540455879 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540456007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540456017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154563 + ... + 158020.

It is an arithmetic number, because the mean of its divisors is an integer number (43761760).

Almost surely, 2^540456007 is an apocalyptic number.

540456007 is a deficient number, since it is larger than the sum of its proper divisors (159732153).

540456007 is a wasteful number, since it uses less digits than its factorization.

540456007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312622.

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 540456007 is about 23247.7097151526. The cubic root of 540456007 is about 814.5544414926.

The spelling of 540456007 in words is "five hundred forty million, four hundred fifty-six thousand, seven".