838440 has 96 divisors (see below), whose sum is σ = 2906280. Its totient is φ = 208896.

The previous prime is 838429. The next prime is 838441. The reversal of 838440 is 44838.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 60516 = 882^2 + 246^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838440.

It is not an unprimeable number, because it can be changed into a prime (838441) by changing a digit.

838440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6052 + ... + 6188.

2⁸³⁸⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453140).

838440 is an abundant number, since it is smaller than the sum of its proper divisors (2067840).

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

838440 is a wasteful number, since it uses less digits than its factorization.

838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 838440 is about 915.6636937217. The cubic root of 838440 is about 94.2954338662.

The spelling of 838440 in words is "eight hundred thirty-eight thousand, four hundred forty".