480319917 has 64 divisors (see below), whose sum is σ = 822804480. Its totient is φ = 242035200.

The previous prime is 480319909. The next prime is 480319937. The reversal of 480319917 is 719913084.

It is a happy number.

It is not a de Polignac number, because 480319917 - 2³ = 480319909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480319937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1253908 + ... + 1254290.

It is an arithmetic number, because the mean of its divisors is an integer number (12856320).

Almost surely, 2^480319917 is an apocalyptic number.

It is an amenable number.

480319917 is a deficient number, since it is larger than the sum of its proper divisors (342484563).

480319917 is a wasteful number, since it uses less digits than its factorization.

480319917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 480319917 is about 21916.2021573082. The cubic root of 480319917 is about 783.1474385904.

The spelling of 480319917 in words is "four hundred eighty million, three hundred nineteen thousand, nine hundred seventeen".