480772217 has 2 divisors, whose sum is σ = 480772218. Its totient is φ = 480772216.

The previous prime is 480772183. The next prime is 480772247. The reversal of 480772217 is 712277084.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262796521 + 217975696 = 16211^2 + 14764^2 .

It is a cyclic number.

It is not a de Polignac number, because 480772217 - 2⁸ = 480771961 is a prime.

It is a super-3 number, since 3×480772217³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (480772247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240386108 + 240386109.

It is an arithmetic number, because the mean of its divisors is an integer number (240386109).

Almost surely, 2^480772217 is an apocalyptic number.

It is an amenable number.

480772217 is a deficient number, since it is larger than the sum of its proper divisors (1).

480772217 is an equidigital number, since it uses as much as digits as its factorization.

480772217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43904, while the sum is 38.

The square root of 480772217 is about 21926.5185791087. The cubic root of 480772217 is about 783.3931820678.

The spelling of 480772217 in words is "four hundred eighty million, seven hundred seventy-two thousand, two hundred seventeen".