417301601 has 4 divisors (see below), whose sum is σ = 441848772. Its totient is φ = 392754432.

The previous prime is 417301559. The next prime is 417301613. The reversal of 417301601 is 106103714.

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 300120976 + 117180625 = 17324^2 + 10825^2 .

It is a cyclic number.

It is not a de Polignac number, because 417301601 - 2¹⁰ = 417300577 is a prime.

It is a super-3 number, since 3×417301601³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417301681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12273560 + ... + 12273593.

It is an arithmetic number, because the mean of its divisors is an integer number (110462193).

Almost surely, 2^417301601 is an apocalyptic number.

It is an amenable number.

417301601 is a deficient number, since it is larger than the sum of its proper divisors (24547171).

417301601 is a wasteful number, since it uses less digits than its factorization.

417301601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24547170.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 417301601 is about 20427.9612541242. The cubic root of 417301601 is about 747.2799849122.

The spelling of 417301601 in words is "four hundred seventeen million, three hundred one thousand, six hundred one".