503138304 has 168 divisors, whose sum is σ = 1512832230. Its totient is φ = 167215104.

The previous prime is 503138299. The next prime is 503138323. The reversal of 503138304 is 403831305.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 466560000 + 36578304 = 21600^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492824 + ... + 1493160.

Almost surely, 2^503138304 is an apocalyptic number.

503138304 is a gapful number since it is divisible by the number (54) 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 503138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756416115).

503138304 is an abundant number, since it is smaller than the sum of its proper divisors (1009693926).

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

503138304 is an frugal number, since it uses more digits than its factorization.

503138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 503138304 is about 22430.7446153711. The cubic root of 503138304 is about 795.3576461306.

Adding to 503138304 its reverse (403831305), we get a palindrome (906969609).

The spelling of 503138304 in words is "five hundred three million, one hundred thirty-eight thousand, three hundred four".