506688504 has 128 divisors (see below), whose sum is σ = 1534041600. Its totient is φ = 136235520.

The previous prime is 506688473. The next prime is 506688569. The reversal of 506688504 is 405886605.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577314 + ... + 578190.

It is an arithmetic number, because the mean of its divisors is an integer number (11984700).

Almost surely, 2^506688504 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 506688504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767020800).

506688504 is an abundant number, since it is smaller than the sum of its proper divisors (1027353096).

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

506688504 is a wasteful number, since it uses less digits than its factorization.

506688504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 506688504 is about 22509.7424241149. The cubic root of 506688504 is about 797.2239740756.

The spelling of 506688504 in words is "five hundred six million, six hundred eighty-eight thousand, five hundred four".