401349 has 16 divisors (see below), whose sum is σ = 592704. Its totient is φ = 240000.

The previous prime is 401347. The next prime is 401371. The reversal of 401349 is 943104.

401349 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 401349 - 2¹ = 401347 is a prime.

It is a super-2 number, since 2×401349² = 322162039602, which contains 22 as substring.

401349 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401341) 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 15 ways as a sum of consecutive naturals, for example, 1474 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2⁴⁰¹³⁴⁹ is an apocalyptic number.

It is an amenable number.

401349 is a deficient number, since it is larger than the sum of its proper divisors (191355).

401349 is a wasteful number, since it uses less digits than its factorization.

401349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 401349 is about 633.5211125132. The cubic root of 401349 is about 73.7633663411.

The spelling of 401349 in words is "four hundred one thousand, three hundred forty-nine".