507904 has 30 divisors (see below), whose sum is σ = 1048544. Its totient is φ = 245760.

The previous prime is 507901. The next prime is 507907. The reversal of 507904 is 409705.

It is an interprime number because it is at equal distance from previous prime (507901) and next prime (507907).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16369 + ... + 16399.

2⁵⁰⁷⁹⁰⁴ 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 507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524272).

507904 is an abundant number, since it is smaller than the sum of its proper divisors (540640).

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

507904 is an frugal number, since it uses more digits than its factorization.

507904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 507904 is about 712.6738384422. The cubic root of 507904 is about 79.7860952358.

The spelling of 507904 in words is "five hundred seven thousand, nine hundred four".