540410220 has 144 divisors (see below), whose sum is σ = 1911873600. Its totient is φ = 123508224.

The previous prime is 540410219. The next prime is 540410257. The reversal of 540410220 is 22014045.

540410220 is a `hidden beast` number, since 540 + 4 + 102 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 540410193 and 540410202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57364 + ... + 66116.

It is an arithmetic number, because the mean of its divisors is an integer number (13276900).

Almost surely, 2^540410220 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 540410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955936800).

540410220 is an abundant number, since it is smaller than the sum of its proper divisors (1371463380).

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

540410220 is a wasteful number, since it uses less digits than its factorization.

540410220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 540410220 is about 23246.7249306219. The cubic root of 540410220 is about 814.5314380430.

Adding to 540410220 its reverse (22014045), we get a palindrome (562424265).

The spelling of 540410220 in words is "five hundred forty million, four hundred ten thousand, two hundred twenty".