417144001 has 8 divisors (see below), whose sum is σ = 420425064. Its totient is φ = 413873280.

The previous prime is 417143971. The next prime is 417144019. The reversal of 417144001 is 100441714.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 167029776 + 250114225 = 12924^2 + 15815^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 417144001 - 2⁷ = 417143873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417114001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91365 + ... + 95821.

It is an arithmetic number, because the mean of its divisors is an integer number (52553133).

Almost surely, 2^417144001 is an apocalyptic number.

It is an amenable number.

417144001 is a deficient number, since it is larger than the sum of its proper divisors (3281063).

417144001 is a wasteful number, since it uses less digits than its factorization.

417144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 417144001 is about 20424.1034319747. The cubic root of 417144001 is about 747.1858993599.

Adding to 417144001 its reverse (100441714), we get a palindrome (517585715).

The spelling of 417144001 in words is "four hundred seventeen million, one hundred forty-four thousand, one".