480767017 has 16 divisors (see below), whose sum is σ = 505103760. Its totient is φ = 457003008.

The previous prime is 480766997. The next prime is 480767059. The reversal of 480767017 is 710767084.

It can be written as a sum of positive squares in 8 ways, for example, as 110166016 + 370601001 = 10496^2 + 19251^2 .

It is a cyclic number.

It is not a de Polignac number, because 480767017 - 2⁷ = 480766889 is a prime.

It is a super-3 number, since 3×480767017³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480767117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778893 + ... + 779509.

It is an arithmetic number, because the mean of its divisors is an integer number (31568985).

Almost surely, 2^480767017 is an apocalyptic number.

It is an amenable number.

480767017 is a deficient number, since it is larger than the sum of its proper divisors (24336743).

480767017 is a wasteful number, since it uses less digits than its factorization.

480767017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020.

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 480767017 is about 21926.4000009121. The cubic root of 480767017 is about 783.3903576816.

It can be divided in two parts, 4807 and 67017, that added together give a square (71824 = 268²).

The spelling of 480767017 in words is "four hundred eighty million, seven hundred sixty-seven thousand, seventeen".