506688048 has 150 divisors (see below), whose sum is σ = 1552238324. Its totient is φ = 160006752.

The previous prime is 506688031. The next prime is 506688071. The reversal of 506688048 is 840886605.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

506688048 is a `hidden beast` number, since 506 + 68 + 80 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506687994 and 506688012.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26667783 + ... + 26667801.

Almost surely, 2^506688048 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 506688048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776119162).

506688048 is an abundant number, since it is smaller than the sum of its proper divisors (1045550276).

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

506688048 is an frugal number, since it uses more digits than its factorization.

506688048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 506688048 is about 22509.7322951651. The cubic root of 506688048 is about 797.2237349186.

The spelling of 506688048 in words is "five hundred six million, six hundred eighty-eight thousand, forty-eight".