480904625 has 8 divisors (see below), whose sum is σ = 600169128. Its totient is φ = 384723600.

The previous prime is 480904603. The next prime is 480904639. The reversal of 480904625 is 526409084.

It can be written as a sum of positive squares in 4 ways, for example, as 60777616 + 420127009 = 7796^2 + 20497^2 .

It is not a de Polignac number, because 480904625 - 2¹⁴ = 480888241 is a prime.

It is a super-3 number, since 3×480904625³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1923494 + ... + 1923743.

It is an arithmetic number, because the mean of its divisors is an integer number (75021141).

Almost surely, 2^480904625 is an apocalyptic number.

It is an amenable number.

480904625 is a deficient number, since it is larger than the sum of its proper divisors (119264503).

480904625 is an equidigital number, since it uses as much as digits as its factorization.

480904625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847252 (or 3847242 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 480904625 is about 21929.5377288259. The cubic root of 480904625 is about 783.4650927702.

The spelling of 480904625 in words is "four hundred eighty million, nine hundred four thousand, six hundred twenty-five".