506688449 has 8 divisors (see below), whose sum is σ = 508970280. Its totient is φ = 504412416.

The previous prime is 506688443. The next prime is 506688461. The reversal of 506688449 is 944886605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 150234049 + 356454400 = 12257^2 + 18880^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506688449 - 2²⁰ = 505639873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506688397 and 506688406.

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, 284249 + ... + 286025.

It is an arithmetic number, because the mean of its divisors is an integer number (63621285).

Almost surely, 2^506688449 is an apocalyptic number.

It is an amenable number.

506688449 is a deficient number, since it is larger than the sum of its proper divisors (2281831).

506688449 is a wasteful number, since it uses less digits than its factorization.

506688449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899.

The product of its (nonzero) digits is 1658880, while the sum is 50.

The square root of 506688449 is about 22509.7412024217. The cubic root of 506688449 is about 797.2239452299.

The spelling of 506688449 in words is "five hundred six million, six hundred eighty-eight thousand, four hundred forty-nine".