480148677 has 48 divisors (see below), whose sum is σ = 768268800. Its totient is φ = 287763840.

The previous prime is 480148631. The next prime is 480148687. The reversal of 480148677 is 776841084.

It is not a de Polignac number, because 480148677 - 2¹⁴ = 480132293 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480148687) 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 47 ways as a sum of consecutive naturals, for example, 280099 + ... + 281807.

It is an arithmetic number, because the mean of its divisors is an integer number (16005600).

Almost surely, 2^480148677 is an apocalyptic number.

It is an amenable number.

480148677 is a deficient number, since it is larger than the sum of its proper divisors (288120123).

480148677 is a wasteful number, since it uses less digits than its factorization.

480148677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 480148677 is about 21912.2951102800. The cubic root of 480148677 is about 783.0543602742.

The spelling of 480148677 in words is "four hundred eighty million, one hundred forty-eight thousand, six hundred seventy-seven".