220004400 has 240 divisors, whose sum is σ = 879015168. Its totient is φ = 45696000.

The previous prime is 220004399. The next prime is 220004459. The reversal of 220004400 is 4400022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×220004400³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

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, 91210 + ... + 93590.

Almost surely, 2^220004400 is an apocalyptic number.

220004400 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 220004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439507584).

220004400 is an abundant number, since it is smaller than the sum of its proper divisors (659010768).

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

220004400 is a wasteful number, since it uses less digits than its factorization.

220004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220004400 is about 14832.5452974195. The cubic root of 220004400 is about 603.6850981934.

Adding to 220004400 its reverse (4400022), we get a palindrome (224404422).

The spelling of 220004400 in words is "two hundred twenty million, four thousand, four hundred".