220414400 has 84 divisors (see below), whose sum is σ = 545290248. Its totient is φ = 87690240.

The previous prime is 220414399. The next prime is 220414409. The reversal of 220414400 is 4414022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220414409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555002 + ... + 555398.

Almost surely, 2^220414400 is an apocalyptic number.

220414400 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 220414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272645124).

220414400 is an abundant number, since it is smaller than the sum of its proper divisors (324875848).

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

220414400 is a wasteful number, since it uses less digits than its factorization.

220414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 220414400 is about 14846.3598232025. The cubic root of 220414400 is about 604.0598744791.

Adding to 220414400 its reverse (4414022), we get a palindrome (224828422).

The spelling of 220414400 in words is "two hundred twenty million, four hundred fourteen thousand, four hundred".