203142400 has 54 divisors (see below), whose sum is σ = 502825022. Its totient is φ = 81254400.

The previous prime is 203142397. The next prime is 203142403. The reversal of 203142400 is 4241302.

It is an interprime number because it is at equal distance from previous prime (203142397) and next prime (203142403).

It can be written as a sum of positive squares in 3 ways, for example, as 25080064 + 178062336 = 5008^2 + 13344^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203142403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9471 + ... + 22270.

Almost surely, 2^203142400 is an apocalyptic number.

203142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203142400 is an abundant number, since it is smaller than the sum of its proper divisors (299682622).

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

203142400 is an equidigital number, since it uses as much as digits as its factorization.

203142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31767 (or 31748 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 203142400 is about 14252.8032330486. The cubic root of 203142400 is about 587.8504563632.

Adding to 203142400 its reverse (4241302), we get a palindrome (207383702).

The spelling of 203142400 in words is "two hundred three million, one hundred forty-two thousand, four hundred".