480647205 has 48 divisors (see below), whose sum is σ = 906023664. Its totient is φ = 234731520.

The previous prime is 480647203. The next prime is 480647207. The reversal of 480647205 is 502746084.

480647205 is a `hidden beast` number, since 4 + 8 + 0 + 647 + 2 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (480647203) and next prime (480647207).

It can be written as a sum of positive squares in 8 ways, for example, as 165868641 + 314778564 = 12879^2 + 17742^2 .

It is not a de Polignac number, because 480647205 - 2¹ = 480647203 is a prime.

It is a super-3 number, since 3×480647205³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480647205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480647201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19815 + ... + 36795.

It is an arithmetic number, because the mean of its divisors is an integer number (18875493).

Almost surely, 2^480647205 is an apocalyptic number.

480647205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480647205 is a deficient number, since it is larger than the sum of its proper divisors (425376459).

480647205 is a wasteful number, since it uses less digits than its factorization.

480647205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17046 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 480647205 is about 21923.6676904208. The cubic root of 480647205 is about 783.3252760099.

The spelling of 480647205 in words is "four hundred eighty million, six hundred forty-seven thousand, two hundred five".