401265 has 24 divisors (see below), whose sum is σ = 717288. Its totient is φ = 207360.

The previous prime is 401243. The next prime is 401279. The reversal of 401265 is 562104.

It is a happy number.

401265 is a `hidden beast` number, since 401 + 265 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159201 + 242064 = 399^2 + 492^2 .

It is not a de Polignac number, because 401265 - 2⁶ = 401201 is a prime.

It is a super-2 number, since 2×401265² = 322027200450, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1545 + ... + 1785.

It is an arithmetic number, because the mean of its divisors is an integer number (29887).

2⁴⁰¹²⁶⁵ is an apocalyptic number.

401265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401265 is a deficient number, since it is larger than the sum of its proper divisors (316023).

401265 is a wasteful number, since it uses less digits than its factorization.

401265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 401265 is about 633.4548129109. The cubic root of 401265 is about 73.7582199016.

Adding to 401265 its reverse (562104), we get a palindrome (963369).

It can be divided in two parts, 401 and 265, that added together give a palindrome (666).

The spelling of 401265 in words is "four hundred one thousand, two hundred sixty-five".