416801 has 8 divisors (see below), whose sum is σ = 519744. Its totient is φ = 324720.

The previous prime is 416797. The next prime is 416821. The reversal of 416801 is 108614.

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

It is not a de Polignac number, because 416801 - 2² = 416797 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416821) 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, 2630 + ... + 2783.

It is an arithmetic number, because the mean of its divisors is an integer number (64968).

2⁴¹⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

416801 is a deficient number, since it is larger than the sum of its proper divisors (102943).

416801 is a wasteful number, since it uses less digits than its factorization.

416801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 416801 is about 645.6012701351. The cubic root of 416801 is about 74.6981049407.

The spelling of 416801 in words is "four hundred sixteen thousand, eight hundred one".