417004013 has 4 divisors (see below), whose sum is σ = 420694428. Its totient is φ = 413313600.

The previous prime is 417003973. The next prime is 417004019. The reversal of 417004013 is 310400714.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 173238244 + 243765769 = 13162^2 + 15613^2 .

It is a cyclic number.

It is not a de Polignac number, because 417004013 - 2⁸ = 417003757 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 (417004019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1845038 + ... + 1845263.

It is an arithmetic number, because the mean of its divisors is an integer number (105173607).

Almost surely, 2^417004013 is an apocalyptic number.

It is an amenable number.

417004013 is a deficient number, since it is larger than the sum of its proper divisors (3690415).

417004013 is a wasteful number, since it uses less digits than its factorization.

417004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690414.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 417004013 is about 20420.6761151535. The cubic root of 417004013 is about 747.1023081124.

Adding to 417004013 its reverse (310400714), we get a palindrome (727404727).

The spelling of 417004013 in words is "four hundred seventeen million, four thousand, thirteen".