480759091 has 8 divisors (see below), whose sum is σ = 487558368. Its totient is φ = 474000000.

The previous prime is 480759077. The next prime is 480759113. The reversal of 480759091 is 190957084.

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 480759091 - 2¹⁷ = 480628019 is a prime.

It is a super-3 number, since 3×480759091³ (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 (480759001) 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 7 ways as a sum of consecutive naturals, for example, 14466 + ... + 34216.

It is an arithmetic number, because the mean of its divisors is an integer number (60944796).

Almost surely, 2^480759091 is an apocalyptic number.

480759091 is a deficient number, since it is larger than the sum of its proper divisors (6799277).

480759091 is a wasteful number, since it uses less digits than its factorization.

480759091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20093.

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 480759091 is about 21926.2192591427. The cubic root of 480759091 is about 783.3860526261.

The spelling of 480759091 in words is "four hundred eighty million, seven hundred fifty-nine thousand, ninety-one".