200424213200 has 480 divisors, whose sum is σ = 559204208640. Its totient is φ = 68528332800.

The previous prime is 200424213193. The next prime is 200424213229. The reversal of 200424213200 is 2312424002.

200424213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×200424213200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 652847447 + ... + 652847753.

It is an arithmetic number, because the mean of its divisors is an integer number (1165008768).

Almost surely, 2^200424213200 is an apocalyptic number.

200424213200 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 200424213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279602104320).

200424213200 is an abundant number, since it is smaller than the sum of its proper divisors (358779995440).

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

200424213200 is a wasteful number, since it uses less digits than its factorization.

200424213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 200424213200 its reverse (2312424002), we get a palindrome (202736637202).

The spelling of 200424213200 in words is "two hundred billion, four hundred twenty-four million, two hundred thirteen thousand, two hundred".