220350400 has 84 divisors (see below), whose sum is σ = 555589440. Its totient is φ = 85964800.

The previous prime is 220350349. The next prime is 220350401. The reversal of 220350400 is 4053022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220350401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63921 + ... + 67279.

It is an arithmetic number, because the mean of its divisors is an integer number (6614160).

Almost surely, 2^220350400 is an apocalyptic number.

220350400 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 220350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277794720).

220350400 is an abundant number, since it is smaller than the sum of its proper divisors (335239040).

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

220350400 is a wasteful number, since it uses less digits than its factorization.

220350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 220350400 is about 14844.2042562072. The cubic root of 220350400 is about 604.0014034440.

The spelling of 220350400 in words is "two hundred twenty million, three hundred fifty thousand, four hundred".