500904 has 40 divisors (see below), whose sum is σ = 1404810. Its totient is φ = 166752.

The previous prime is 500891. The next prime is 500909. The reversal of 500904 is 409005.

It can be written as a sum of positive squares in only one way, i.e., 492804 + 8100 = 702^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (500909) by changing a digit.

500904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 262 + ... + 1034.

2⁵⁰⁰⁹⁰⁴ is an apocalyptic number.

500904 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 500904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702405).

500904 is an abundant number, since it is smaller than the sum of its proper divisors (903906).

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

500904 is a wasteful number, since it uses less digits than its factorization.

500904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 500904 is about 707.7457170481. The cubic root of 500904 is about 79.4178574846.

Adding to 500904 its reverse (409005), we get a palindrome (909909).

The spelling of 500904 in words is "five hundred thousand, nine hundred four".