838488 has 96 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 221760.

The previous prime is 838483. The next prime is 838517. The reversal of 838488 is 884838.

838488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×838488² = 1406124252288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838483) by changing a digit.

838488 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, 27033 + ... + 27063.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁸³⁸⁴⁸⁸ 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 838488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280).

838488 is an abundant number, since it is smaller than the sum of its proper divisors (1788072).

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

838488 is a wasteful number, since it uses less digits than its factorization.

838488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 838488 is about 915.6899038430. The cubic root of 838488 is about 94.2972332772.

It can be divided in two parts, 838 and 488, that added together give a triangular number (1326 = T₅₁).

The spelling of 838488 in words is "eight hundred thirty-eight thousand, four hundred eighty-eight".