416001 has 8 divisors (see below), whose sum is σ = 578880. Its totient is φ = 265232.

The previous prime is 415999. The next prime is 416011. The reversal of 416001 is 100614.

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 416001 - 2¹ = 415999 is a prime.

It is a Curzon number.

416001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (416011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2946 + ... + 3083.

It is an arithmetic number, because the mean of its divisors is an integer number (72360).

2⁴¹⁶⁰⁰¹ is an apocalyptic number.

It is an amenable number.

416001 is a deficient number, since it is larger than the sum of its proper divisors (162879).

416001 is a wasteful number, since it uses less digits than its factorization.

416001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 416001 is about 644.9813950805. The cubic root of 416001 is about 74.6502829522.

Adding to 416001 its product of nonzero digits (24), we get a square (416025 = 645²).

Adding to 416001 its reverse (100614), we get a palindrome (516615).

The spelling of 416001 in words is "four hundred sixteen thousand, one".