480713519 has 12 divisors (see below), whose sum is σ = 569034648. Its totient is φ = 403394640.

The previous prime is 480713503. The next prime is 480713521. The reversal of 480713519 is 915317084.

It is not a de Polignac number, because 480713519 - 2⁴ = 480713503 is a prime.

It is a super-3 number, since 3×480713519³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480713549) 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 11 ways as a sum of consecutive naturals, for example, 151229 + ... + 154374.

It is an arithmetic number, because the mean of its divisors is an integer number (47419554).

Almost surely, 2^480713519 is an apocalyptic number.

480713519 is a deficient number, since it is larger than the sum of its proper divisors (88321129).

480713519 is a wasteful number, since it uses less digits than its factorization.

480713519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305638 (or 305627 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 480713519 is about 21925.1800220660. The cubic root of 480713519 is about 783.3612989966.

The spelling of 480713519 in words is "four hundred eighty million, seven hundred thirteen thousand, five hundred nineteen".