480895677 has 16 divisors (see below), whose sum is σ = 754346880. Its totient is φ = 301738176.

The previous prime is 480895637. The next prime is 480895691. The reversal of 480895677 is 776598084.

480895677 is a `hidden beast` number, since 480 + 8 + 95 + 6 + 77 = 666.

It is not a de Polignac number, because 480895677 - 2⁸ = 480895421 is a prime.

It is a super-3 number, since 3×480895677³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480895627) 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 15 ways as a sum of consecutive naturals, for example, 523393 + ... + 524310.

It is an arithmetic number, because the mean of its divisors is an integer number (47146680).

Almost surely, 2^480895677 is an apocalyptic number.

It is an amenable number.

480895677 is a deficient number, since it is larger than the sum of its proper divisors (273451203).

480895677 is a wasteful number, since it uses less digits than its factorization.

480895677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047729 (or 1047723 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 480895677 is about 21929.3337108085. Note that the first 3 decimals coincide. The cubic root of 480895677 is about 783.4602335329.

The spelling of 480895677 in words is "four hundred eighty million, eight hundred ninety-five thousand, six hundred seventy-seven".