408101 has 8 divisors (see below), whose sum is σ = 439680. Its totient is φ = 377568.

The previous prime is 408091. The next prime is 408127. The reversal of 408101 is 101804.

408101 = 55² + 56² + ... + 111².

It is a happy number.

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

It is not a de Polignac number, because 408101 - 2¹⁴ = 391717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408131) 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, 665 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (54960).

2⁴⁰⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

408101 is a deficient number, since it is larger than the sum of its proper divisors (31579).

408101 is a wasteful number, since it uses less digits than its factorization.

408101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 408101 is about 638.8278328314. The cubic root of 408101 is about 74.1747150014.

Adding to 408101 its reverse (101804), we get a palindrome (509905).

The spelling of 408101 in words is "four hundred eight thousand, one hundred one".