400349 has 6 divisors (see below), whose sum is σ = 422910. Its totient is φ = 378936.

The previous prime is 400339. The next prime is 400381. The reversal of 400349 is 943004.

It can be written as a sum of positive squares in only one way, i.e., 225625 + 174724 = 475^2 + 418^2 .

It is not a de Polignac number, because 400349 - 2⁸ = 400093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (70485).

2⁴⁰⁰³⁴⁹ is an apocalyptic number.

It is an amenable number.

400349 is a deficient number, since it is larger than the sum of its proper divisors (22561).

400349 is a wasteful number, since it uses less digits than its factorization.

400349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 400349 is about 632.7313806032. The cubic root of 400349 is about 73.7020525268.

The spelling of 400349 in words is "four hundred thousand, three hundred forty-nine".