220085400 has 96 divisors (see below), whose sum is σ = 722431440. Its totient is φ = 55234560.

The previous prime is 220085381. The next prime is 220085401. The reversal of 220085400 is 4580022.

220085400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220085401) 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, 589 + ... + 20988.

Almost surely, 2^220085400 is an apocalyptic number.

220085400 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 220085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361215720).

220085400 is an abundant number, since it is smaller than the sum of its proper divisors (502346040).

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

220085400 is a wasteful number, since it uses less digits than its factorization.

220085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21613 (or 21604 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 220085400 is about 14835.2755282806. The cubic root of 220085400 is about 603.7591762469.

The spelling of 220085400 in words is "two hundred twenty million, eighty-five thousand, four hundred".