540423009 has 81 divisors (see below), whose sum is σ = 966494451. Its totient is φ = 301281120.

The previous prime is 540422989. The next prime is 540423029. The reversal of 540423009 is 900324045.

540423009 = 144³ + 145³ + ... + 225³.

The square root of 540423009 is 23247.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (540422989) and next prime (540423029).

It can be written as a sum of positive squares in only one way, i.e., 26040609 + 514382400 = 5103^2 + 22680^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 540423009 - 2⁵ = 540422977 is a prime.

It is a super-2 number, since 2×540423009² = 584114057313228162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (540423029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13181029 + ... + 13181069.

Almost surely, 2^540423009 is an apocalyptic number.

540423009 is the 23247-th square number.

540423009 is the 11624-th centered octagonal number.

It is an amenable number.

540423009 is a deficient number, since it is larger than the sum of its proper divisors (426071442).

540423009 is an frugal number, since it uses more digits than its factorization.

540423009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 540423009 is about 814.5378633844.

The spelling of 540423009 in words is "five hundred forty million, four hundred twenty-three thousand, nine".