200400220 has 48 divisors (see below), whose sum is σ = 445404960. Its totient is φ = 75527424.

The previous prime is 200400217. The next prime is 200400223. The reversal of 200400220 is 22004002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200400217) and next prime (200400223).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200400197 and 200400206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200400223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73522 + ... + 76198.

It is an arithmetic number, because the mean of its divisors is an integer number (9279270).

Almost surely, 2^200400220 is an apocalyptic number.

200400220 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 200400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222702480).

200400220 is an abundant number, since it is smaller than the sum of its proper divisors (245004740).

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

200400220 is a wasteful number, since it uses less digits than its factorization.

200400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 200400220 is about 14156.2784657550. The cubic root of 200400220 is about 585.1933711925.

Adding to 200400220 its reverse (22004002), we get a palindrome (222404222).

The spelling of 200400220 in words is "two hundred million, four hundred thousand, two hundred twenty".