480515166 has 80 divisors (see below), whose sum is σ = 1148677200. Its totient is φ = 149610240.

The previous prime is 480515143. The next prime is 480515173. The reversal of 480515166 is 661515084.

480515166 is a `hidden beast` number, since 4 + 80 + 515 + 1 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 480515166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 409761 + ... + 410931.

It is an arithmetic number, because the mean of its divisors is an integer number (14358465).

Almost surely, 2^480515166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480515166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574338600).

480515166 is an abundant number, since it is smaller than the sum of its proper divisors (668162034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480515166 is a wasteful number, since it uses less digits than its factorization.

480515166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 480515166 is about 21920.6561489386. The cubic root of 480515166 is about 783.2535401243.

The spelling of 480515166 in words is "four hundred eighty million, five hundred fifteen thousand, one hundred sixty-six".