480365105 has 16 divisors (see below), whose sum is σ = 632016000. Its totient is φ = 347592960.

The previous prime is 480365101. The next prime is 480365113. The reversal of 480365105 is 501563084.

It is a happy number.

It is not a de Polignac number, because 480365105 - 2² = 480365101 is a prime.

It is a super-2 number, since 2×480365105² = 461501268203322050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480365101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11000 + ... + 32889.

It is an arithmetic number, because the mean of its divisors is an integer number (39501000).

Almost surely, 2^480365105 is an apocalyptic number.

It is an amenable number.

480365105 is a deficient number, since it is larger than the sum of its proper divisors (151650895).

480365105 is a wasteful number, since it uses less digits than its factorization.

480365105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44104.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 480365105 is about 21917.2330598550. The cubic root of 480365105 is about 783.1719970534.

The spelling of 480365105 in words is "four hundred eighty million, three hundred sixty-five thousand, one hundred five".