416688257 has 2 divisors, whose sum is σ = 416688258. Its totient is φ = 416688256.

The previous prime is 416688253. The next prime is 416688301. The reversal of 416688257 is 752886614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396965776 + 19722481 = 19924^2 + 4441^2 .

It is a cyclic number.

It is not a de Polignac number, because 416688257 - 2² = 416688253 is a prime.

It is not a weakly prime, because it can be changed into another prime (416688253) 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, 208344128 + 208344129.

It is an arithmetic number, because the mean of its divisors is an integer number (208344129).

Almost surely, 2^416688257 is an apocalyptic number.

It is an amenable number.

416688257 is a deficient number, since it is larger than the sum of its proper divisors (1).

416688257 is an equidigital number, since it uses as much as digits as its factorization.

416688257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 645120, while the sum is 47.

The square root of 416688257 is about 20412.9433693429. The cubic root of 416688257 is about 746.9136915397.

The spelling of 416688257 in words is "four hundred sixteen million, six hundred eighty-eight thousand, two hundred fifty-seven".