540414020 has 24 divisors (see below), whose sum is σ = 1201627224. Its totient is φ = 203449856.

The previous prime is 540414011. The next prime is 540414029. The reversal of 540414020 is 20414045.

It is an interprime number because it is at equal distance from previous prime (540414011) and next prime (540414029).

It can be written as a sum of positive squares in 4 ways, for example, as 276091456 + 264322564 = 16616^2 + 16258^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 540413983 and 540414001.

It is not an unprimeable number, because it can be changed into a prime (540414029) 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, 794387 + ... + 795066.

It is an arithmetic number, because the mean of its divisors is an integer number (50067801).

Almost surely, 2^540414020 is an apocalyptic number.

It is an amenable number.

540414020 is an abundant number, since it is smaller than the sum of its proper divisors (661213204).

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

540414020 is a wasteful number, since it uses less digits than its factorization.

540414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589479 (or 1589477 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 540414020 is about 23246.8066624214. The cubic root of 540414020 is about 814.5333472175.

Adding to 540414020 its reverse (20414045), we get a palindrome (560828065).

The spelling of 540414020 in words is "five hundred forty million, four hundred fourteen thousand, twenty".