417204983 has 16 divisors (see below), whose sum is σ = 474163200. Its totient is φ = 363903840.

The previous prime is 417204961. The next prime is 417205031. The reversal of 417204983 is 389402714.

It is a cyclic number.

It is not a de Polignac number, because 417204983 - 2⁶ = 417204919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417204283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104498 + ... + 108416.

It is an arithmetic number, because the mean of its divisors is an integer number (29635200).

Almost surely, 2^417204983 is an apocalyptic number.

417204983 is a deficient number, since it is larger than the sum of its proper divisors (56958217).

417204983 is a wasteful number, since it uses less digits than its factorization.

417204983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 417204983 is about 20425.5962703663. The cubic root of 417204983 is about 747.2223077866. Note that the first 3 decimals are identical.

The spelling of 417204983 in words is "four hundred seventeen million, two hundred four thousand, nine hundred eighty-three".