480009569 has 8 divisors (see below), whose sum is σ = 547341480. Its totient is φ = 417021696.

The previous prime is 480009533. The next prime is 480009571. The reversal of 480009569 is 965900084.

It can be written as a sum of positive squares in 4 ways, for example, as 149206225 + 330803344 = 12215^2 + 18188^2 .

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

It is not a de Polignac number, because 480009569 - 2¹² = 480005473 is a prime.

It is a super-2 number, since 2×480009569² = 460818372663131522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480009589) 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, 1085774 + ... + 1086215.

It is an arithmetic number, because the mean of its divisors is an integer number (68417685).

Almost surely, 2^480009569 is an apocalyptic number.

It is an amenable number.

480009569 is a deficient number, since it is larger than the sum of its proper divisors (67331911).

480009569 is a wasteful number, since it uses less digits than its factorization.

480009569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172019.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 480009569 is about 21909.1206806663. The cubic root of 480009569 is about 782.9787311670.

The spelling of 480009569 in words is "four hundred eighty million, nine thousand, five hundred sixty-nine".