220405160 has 32 divisors (see below), whose sum is σ = 497701800. Its totient is φ = 87843840.

The previous prime is 220405151. The next prime is 220405169. The reversal of 220405160 is 61504022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220405151) and next prime (220405169).

It can be written as a sum of positive squares in 4 ways, for example, as 220403716 + 1444 = 14846^2 + 38^2 .

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 (220405169) 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 7 ways as a sum of consecutive naturals, for example, 1436 + ... + 21044.

Almost surely, 2^220405160 is an apocalyptic number.

220405160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220405160 is an abundant number, since it is smaller than the sum of its proper divisors (277296640).

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

220405160 is a wasteful number, since it uses less digits than its factorization.

220405160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19901 (or 19897 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 220405160 is about 14846.0486325487. The cubic root of 220405160 is about 604.0514334225.

Adding to 220405160 its reverse (61504022), we get a palindrome (281909182).

The spelling of 220405160 in words is "two hundred twenty million, four hundred five thousand, one hundred sixty".