220430540 has 72 divisors (see below), whose sum is σ = 515699520. Its totient is φ = 79073280.

The previous prime is 220430527. The next prime is 220430543. The reversal of 220430540 is 45034022.

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

It is not an unprimeable number, because it can be changed into a prime (220430543) 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 23 ways as a sum of consecutive naturals, for example, 190604 + ... + 191756.

Almost surely, 2^220430540 is an apocalyptic number.

220430540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220430540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257849760).

220430540 is an abundant number, since it is smaller than the sum of its proper divisors (295268980).

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

220430540 is a wasteful number, since it uses less digits than its factorization.

220430540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 220430540 is about 14846.9033808401. The cubic root of 220430540 is about 604.0746183561.

Adding to 220430540 its reverse (45034022), we get a palindrome (265464562).

The spelling of 220430540 in words is "two hundred twenty million, four hundred thirty thousand, five hundred forty".