401305 has 8 divisors (see below), whose sum is σ = 487872. Its totient is φ = 316848.

The previous prime is 401287. The next prime is 401309. The reversal of 401305 is 503104.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401305 is a prime.

It is a super-2 number, since 2×401305² = 322091406050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 898.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

2⁴⁰¹³⁰⁵ is an apocalyptic number.

It is an amenable number.

401305 is a deficient number, since it is larger than the sum of its proper divisors (86567).

401305 is an equidigital number, since it uses as much as digits as its factorization.

401305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 401305 is about 633.4863850155. The cubic root of 401305 is about 73.7606706766.

Adding to 401305 its reverse (503104), we get a palindrome (904409).

The spelling of 401305 in words is "four hundred one thousand, three hundred five".