506688448 has 56 divisors (see below), whose sum is σ = 1167997664. Its totient is φ = 213580800.

The previous prime is 506688443. The next prime is 506688461. The reversal of 506688448 is 844886605.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506688443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18058 + ... + 36598.

Almost surely, 2^506688448 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 506688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583998832).

506688448 is an abundant number, since it is smaller than the sum of its proper divisors (661309216).

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

506688448 is a wasteful number, since it uses less digits than its factorization.

506688448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18621 (or 18611 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The square root of 506688448 is about 22509.7411802091. The cubic root of 506688448 is about 797.2239447054.

The spelling of 506688448 in words is "five hundred six million, six hundred eighty-eight thousand, four hundred forty-eight".