480500819 has 8 divisors (see below), whose sum is σ = 487471152. Its totient is φ = 473541120.

The previous prime is 480500777. The next prime is 480500827. The reversal of 480500819 is 918005084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480500819 - 2²⁰ = 479452243 is a prime.

It is a super-2 number, since 2×480500819² = 461762074119341522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480500879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150332 + ... + 153494.

It is an arithmetic number, because the mean of its divisors is an integer number (60933894).

Almost surely, 2^480500819 is an apocalyptic number.

480500819 is a deficient number, since it is larger than the sum of its proper divisors (6970333).

480500819 is a wasteful number, since it uses less digits than its factorization.

480500819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 480500819 is about 21920.3288980800. The cubic root of 480500819 is about 783.2457447059.

The spelling of 480500819 in words is "four hundred eighty million, five hundred thousand, eight hundred nineteen".