220410000 has 300 divisors, whose sum is σ = 805742080. Its totient is φ = 56160000.

The previous prime is 220409993. The next prime is 220410007. The reversal of 220410000 is 14022.

It is an interprime number because it is at equal distance from previous prime (220409993) and next prime (220410007).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (220410007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2789961 + ... + 2790039.

Almost surely, 2^220410000 is an apocalyptic number.

220410000 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 220410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402871040).

220410000 is an abundant number, since it is smaller than the sum of its proper divisors (585332080).

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

220410000 is a wasteful number, since it uses less digits than its factorization.

220410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220410000 is about 14846.2116379903. The cubic root of 220410000 is about 604.0558549577.

Adding to 220410000 its reverse (14022), we get a palindrome (220424022).

The spelling of 220410000 in words is "two hundred twenty million, four hundred ten thousand".