838400 has 54 divisors (see below), whose sum is σ = 2091012. Its totient is φ = 332800.

The previous prime is 838399. The next prime is 838403. The reversal of 838400 is 4838.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (838403) 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 5 ways as a sum of consecutive naturals, for example, 6335 + ... + 6465.

2⁸³⁸⁴⁰⁰ is an apocalyptic number.

838400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045506).

838400 is an abundant number, since it is smaller than the sum of its proper divisors (1252612).

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

838400 is a wasteful number, since it uses less digits than its factorization.

838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 838400 is about 915.6418513808. The cubic root of 838400 is about 94.2939343045.

The spelling of 838400 in words is "eight hundred thirty-eight thousand, four hundred".