203424400 has 60 divisors (see below), whose sum is σ = 500135152. Its totient is φ = 79470720.

The previous prime is 203424383. The next prime is 203424407. The reversal of 203424400 is 4424302.

It is not an unprimeable number, because it can be changed into a prime (203424407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11287 + ... + 23113.

Almost surely, 2^203424400 is an apocalyptic number.

203424400 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 203424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250067576).

203424400 is an abundant number, since it is smaller than the sum of its proper divisors (296710752).

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

203424400 is a wasteful number, since it uses less digits than its factorization.

203424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 203424400 is about 14262.6925929153. The cubic root of 203424400 is about 588.1223463926.

Adding to 203424400 its reverse (4424302), we get a palindrome (207848702).

It can be divided in two parts, 20342 and 4400, that added together give a palindrome (24742).

The spelling of 203424400 in words is "two hundred three million, four hundred twenty-four thousand, four hundred".