220400000 has 192 divisors, whose sum is σ = 597618000. Its totient is φ = 80640000.

The previous prime is 220399999. The next prime is 220400003. The reversal of 220400000 is 4022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7599986 + ... + 7600014.

Almost surely, 2^220400000 is an apocalyptic number.

220400000 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 220400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298809000).

220400000 is an abundant number, since it is smaller than the sum of its proper divisors (377218000).

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

220400000 is an frugal number, since it uses more digits than its factorization.

220400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 220400000 is about 14845.8748479165. The cubic root of 220400000 is about 604.0467194831.

Adding to 220400000 its reverse (4022), we get a palindrome (220404022).

The spelling of 220400000 in words is "two hundred twenty million, four hundred thousand".