480554019 has 64 divisors (see below), whose sum is σ = 819486720. Its totient is φ = 275473440.

The previous prime is 480554017. The next prime is 480554029. The reversal of 480554019 is 910455084.

It is not a de Polignac number, because 480554019 - 2¹ = 480554017 is a prime.

It is a super-2 number, since 2×480554019² = 461864330354104722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480554017) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 703252 + ... + 703934.

It is an arithmetic number, because the mean of its divisors is an integer number (12804480).

Almost surely, 2^480554019 is an apocalyptic number.

480554019 is a deficient number, since it is larger than the sum of its proper divisors (338932701).

480554019 is a wasteful number, since it uses less digits than its factorization.

480554019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

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

The square root of 480554019 is about 21921.5423499351. The cubic root of 480554019 is about 783.2746500579.

The spelling of 480554019 in words is "four hundred eighty million, five hundred fifty-four thousand, nineteen".