203430242400 has 432 divisors, whose sum is σ = 840304342080. Its totient is φ = 42270950400.

The previous prime is 203430242387. The next prime is 203430242503. The reversal of 203430242400 is 4242034302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1214971 + ... + 1372229.

It is an arithmetic number, because the mean of its divisors is an integer number (1945148940).

Almost surely, 2^203430242400 is an apocalyptic number.

203430242400 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 203430242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420152171040).

203430242400 is an abundant number, since it is smaller than the sum of its proper divisors (636874099680).

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

203430242400 is a wasteful number, since it uses less digits than its factorization.

203430242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157307 (or 157287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 203430242400 its reverse (4242034302), we get a palindrome (207672276702).

It can be divided in two parts, 2034302 and 42400, that added together give a palindrome (2076702).

The spelling of 203430242400 in words is "two hundred three billion, four hundred thirty million, two hundred forty-two thousand, four hundred".