401958 has 24 divisors (see below), whose sum is σ = 882648. Its totient is φ = 132192.

The previous prime is 401957. The next prime is 401959. The reversal of 401958 is 859104.

401958 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (401957) and next prime (401959).

It is a super-3 number, since 3×401958³ = 194833344069929736, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2385 + ... + 2547.

It is an arithmetic number, because the mean of its divisors is an integer number (36777).

2⁴⁰¹⁹⁵⁸ is an apocalyptic number.

401958 is an abundant number, since it is smaller than the sum of its proper divisors (480690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401958 is a wasteful number, since it uses less digits than its factorization.

401958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 401958 is about 634.0015772851. The cubic root of 401958 is about 73.8006565698.

The spelling of 401958 in words is "four hundred one thousand, nine hundred fifty-eight".