507104 has 48 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 219648.

The previous prime is 507103. The next prime is 507109. The reversal of 507104 is 401705.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9542 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2⁵⁰⁷¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536).

507104 is an abundant number, since it is smaller than the sum of its proper divisors (635968).

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

507104 is a wasteful number, since it uses less digits than its factorization.

507104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 507104 is about 712.1123506863. The cubic root of 507104 is about 79.7441828417.

Adding to 507104 its reverse (401705), we get a palindrome (908809).

The spelling of 507104 in words is "five hundred seven thousand, one hundred four".