203413200 has 120 divisors (see below), whose sum is σ = 654833088. Its totient is φ = 53975040.

The previous prime is 203413193. The next prime is 203413213. The reversal of 203413200 is 2314302.

It is a tau number, because it is divible by the number of its divisors (120).

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 203413200.

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, 404149 + ... + 404651.

Almost surely, 2^203413200 is an apocalyptic number.

203413200 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 203413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327416544).

203413200 is an abundant number, since it is smaller than the sum of its proper divisors (451419888).

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

203413200 is a wasteful number, since it uses less digits than its factorization.

203413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

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

The square root of 203413200 is about 14262.2999547759. The cubic root of 203413200 is about 588.1115527166. Note that the first 3 decimals are identical.

Adding to 203413200 its reverse (2314302), we get a palindrome (205727502).

The spelling of 203413200 in words is "two hundred three million, four hundred thirteen thousand, two hundred".