506608461 has 12 divisors (see below), whose sum is σ = 737531392. Its totient is φ = 335078856.

The previous prime is 506608451. The next prime is 506608463. The reversal of 506608461 is 164806605.

506608461 is a `hidden beast` number, since 5 + 0 + 6 + 608 + 46 + 1 = 666.

It is not a de Polignac number, because 506608461 - 2¹¹ = 506606413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506608463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220471 + ... + 222756.

Almost surely, 2^506608461 is an apocalyptic number.

It is an amenable number.

506608461 is a deficient number, since it is larger than the sum of its proper divisors (230922931).

506608461 is a wasteful number, since it uses less digits than its factorization.

506608461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443360 (or 443357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 506608461 is about 22507.9643904108. The cubic root of 506608461 is about 797.1819919646.

The spelling of 506608461 in words is "five hundred six million, six hundred eight thousand, four hundred sixty-one".