503200 has 72 divisors (see below), whose sum is σ = 1335852. Its totient is φ = 184320.

The previous prime is 503197. The next prime is 503207. The reversal of 503200 is 2305.

503200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 364816 + 138384 = 604^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (503207) 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, 13582 + ... + 13618.

2⁵⁰³²⁰⁰ is an apocalyptic number.

503200 is a gapful number since it is divisible by the number (50) 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 503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667926).

503200 is an abundant number, since it is smaller than the sum of its proper divisors (832652).

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

503200 is a wasteful number, since it uses less digits than its factorization.

503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 503200 is about 709.3659140387. The cubic root of 503200 is about 79.5390154342.

Adding to 503200 its reverse (2305), we get a palindrome (505505).

It can be divided in two parts, 503 and 200, that added together give a triangular number (703 = T₃₇).

The spelling of 503200 in words is "five hundred three thousand, two hundred".