480065105 has 16 divisors (see below), whose sum is σ = 635526864. Its totient is φ = 345861120.

The previous prime is 480065087. The next prime is 480065107. The reversal of 480065105 is 501560084.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19018321 + 461046784 = 4361^2 + 21472^2 .

It is not a de Polignac number, because 480065105 - 2²⁰ = 479016529 is a prime.

It is a super-2 number, since 2×480065105² = 460925010077322050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480065107) 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, 87404 + ... + 92733.

It is an arithmetic number, because the mean of its divisors is an integer number (39720429).

Almost surely, 2^480065105 is an apocalyptic number.

It is an amenable number.

480065105 is a deficient number, since it is larger than the sum of its proper divisors (155461759).

480065105 is a wasteful number, since it uses less digits than its factorization.

480065105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180196.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 480065105 is about 21910.3880613740. The cubic root of 480065105 is about 783.0089262803.

The spelling of 480065105 in words is "four hundred eighty million, sixty-five thousand, one hundred five".