506408777 has 12 divisors (see below), whose sum is σ = 608092416. Its totient is φ = 420061320.

The previous prime is 506408731. The next prime is 506408783. The reversal of 506408777 is 777804605.

It is not a de Polignac number, because 506408777 - 2²⁰ = 505360201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506402777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165173 + ... + 168210.

It is an arithmetic number, because the mean of its divisors is an integer number (50674368).

Almost surely, 2^506408777 is an apocalyptic number.

It is an amenable number.

506408777 is a deficient number, since it is larger than the sum of its proper divisors (101683639).

506408777 is a wasteful number, since it uses less digits than its factorization.

506408777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333428 (or 333421 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 506408777 is about 22503.5281011667. The cubic root of 506408777 is about 797.0772395306.

The spelling of 506408777 in words is "five hundred six million, four hundred eight thousand, seven hundred seventy-seven".