488233217 has 8 divisors (see below), whose sum is σ = 520425000. Its totient is φ = 456427264.

The previous prime is 488233211. The next prime is 488233219. The reversal of 488233217 is 712332884.

It is a Cunningham number, because it is equal to 22096²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 57214096 + 431019121 = 7564^2 + 20761^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 488233217 - 2¹² = 488229121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488233211) 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 7 ways as a sum of consecutive naturals, for example, 93842 + ... + 98907.

It is an arithmetic number, because the mean of its divisors is an integer number (65053125).

Almost surely, 2^488233217 is an apocalyptic number.

It is an amenable number.

488233217 is a deficient number, since it is larger than the sum of its proper divisors (32191783).

488233217 is a wasteful number, since it uses less digits than its factorization.

488233217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192915.

The product of its digits is 64512, while the sum is 38.

The square root of 488233217 is about 22096.0000226285. Note that the first 4 decimals coincide. The cubic root of 488233217 is about 787.4248344148.

The spelling of 488233217 in words is "four hundred eighty-eight million, two hundred thirty-three thousand, two hundred seventeen".