503872 has 14 divisors (see below), whose sum is σ = 999998. Its totient is φ = 251904.

The previous prime is 503869. The next prime is 503879. The reversal of 503872 is 278305.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 207936 = 544^2 + 456^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (503879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3873 + ... + 4000.

2⁵⁰³⁸⁷² is an apocalyptic number.

It is an amenable number.

503872 is a deficient number, since it is larger than the sum of its proper divisors (496126).

503872 is an equidigital number, since it uses as much as digits as its factorization.

503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 503872 is about 709.8394184603. The cubic root of 503872 is about 79.5744065594.

It can be divided in two parts, 50 and 3872, that multiplied together give a square (193600 = 440²).

The spelling of 503872 in words is "five hundred three thousand, eight hundred seventy-two".