200306400 has 144 divisors (see below), whose sum is σ = 745202304. Its totient is φ = 45780480.

The previous prime is 200306377. The next prime is 200306413. The reversal of 200306400 is 4603002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200306400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10839 + ... + 22761.

It is an arithmetic number, because the mean of its divisors is an integer number (5175016).

Almost surely, 2^200306400 is an apocalyptic number.

200306400 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 200306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372601152).

200306400 is an abundant number, since it is smaller than the sum of its proper divisors (544895904).

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

200306400 is a wasteful number, since it uses less digits than its factorization.

200306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11953 (or 11940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 200306400 is about 14152.9643538024. The cubic root of 200306400 is about 585.1020349452.

Adding to 200306400 its reverse (4603002), we get a palindrome (204909402).

The spelling of 200306400 in words is "two hundred million, three hundred six thousand, four hundred".