480766877 has 8 divisors (see below), whose sum is σ = 484169400. Its totient is φ = 477374464.

The previous prime is 480766873. The next prime is 480766883. The reversal of 480766877 is 778667084.

It can be written as a sum of positive squares in 4 ways, for example, as 247716121 + 233050756 = 15739^2 + 15266^2 .

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 480766877 - 2² = 480766873 is a prime.

It is a super-3 number, since 3×480766877³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480766873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109949 + ... + 114237.

It is an arithmetic number, because the mean of its divisors is an integer number (60521175).

Almost surely, 2^480766877 is an apocalyptic number.

It is an amenable number.

480766877 is a deficient number, since it is larger than the sum of its proper divisors (3402523).

480766877 is a wasteful number, since it uses less digits than its factorization.

480766877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055.

The product of its (nonzero) digits is 3161088, while the sum is 53.

The square root of 480766877 is about 21926.3968084134. The cubic root of 480766877 is about 783.3902816402.

The spelling of 480766877 in words is "four hundred eighty million, seven hundred sixty-six thousand, eight hundred seventy-seven".