480018817 has 8 divisors (see below), whose sum is σ = 525781800. Its totient is φ = 436203264.

The previous prime is 480018733. The next prime is 480018829. The reversal of 480018817 is 718810084.

It can be written as a sum of positive squares in 4 ways, for example, as 22743361 + 457275456 = 4769^2 + 21384^2 .

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 480018817 - 2¹⁵ = 479986049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480018317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486342 + ... + 487327.

It is an arithmetic number, because the mean of its divisors is an integer number (65722725).

Almost surely, 2^480018817 is an apocalyptic number.

It is an amenable number.

480018817 is a deficient number, since it is larger than the sum of its proper divisors (45762983).

480018817 is a wasteful number, since it uses less digits than its factorization.

480018817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973715.

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 480018817 is about 21909.3317333049. The cubic root of 480018817 is about 782.9837594979.

The spelling of 480018817 in words is "four hundred eighty million, eighteen thousand, eight hundred seventeen".