838401 has 8 divisors (see below), whose sum is σ = 1129344. Its totient is φ = 553200.

The previous prime is 838399. The next prime is 838403. The reversal of 838401 is 104838.

It is an interprime number because it is at equal distance from previous prime (838399) and next prime (838403).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 838401 - 2¹ = 838399 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838401.

It is not an unprimeable number, because it can be changed into a prime (838403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (141168).

2⁸³⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

838401 is a deficient number, since it is larger than the sum of its proper divisors (290943).

838401 is a wasteful number, since it uses less digits than its factorization.

838401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 838401 is about 915.6423974456. The cubic root of 838401 is about 94.2939717942.

The spelling of 838401 in words is "eight hundred thirty-eight thousand, four hundred one".