401257 has 4 divisors (see below), whose sum is σ = 404100. Its totient is φ = 398416.

The previous prime is 401243. The next prime is 401279. The reversal of 401257 is 752104.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 301401 = 316^2 + 549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401257 is a prime.

It is a super-2 number, since 2×401257² = 322014360098, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (401237) 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 3 ways as a sum of consecutive naturals, for example, 1198 + ... + 1495.

It is an arithmetic number, because the mean of its divisors is an integer number (101025).

2⁴⁰¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

401257 is a deficient number, since it is larger than the sum of its proper divisors (2843).

401257 is a wasteful number, since it uses less digits than its factorization.

401257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 401257 is about 633.4484983012. The cubic root of 401257 is about 73.7577297270.

It can be divided in two parts, 40125 and 7, that multiplied together give a triangular number (280875 = T₇₄₉).

The spelling of 401257 in words is "four hundred one thousand, two hundred fifty-seven".