417649 has 2 divisors, whose sum is σ = 417650. Its totient is φ = 417648.

The previous prime is 417643. The next prime is 417671. The reversal of 417649 is 946714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 18225 = 632^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 417649 - 2⁵ = 417617 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 417649.

It is not a weakly prime, because it can be changed into another prime (417643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208824 + 208825.

It is an arithmetic number, because the mean of its divisors is an integer number (208825).

2⁴¹⁷⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

417649 is a deficient number, since it is larger than the sum of its proper divisors (1).

417649 is an equidigital number, since it uses as much as digits as its factorization.

417649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 31.

The square root of 417649 is about 646.2576885423. The cubic root of 417649 is about 74.7487294855.

It can be divided in two parts, 4176 and 49, that added together give a square (4225 = 65²).

The spelling of 417649 in words is "four hundred seventeen thousand, six hundred forty-nine".