938448 has 120 divisors (see below), whose sum is σ = 3224000. Its totient is φ = 254016.

The previous prime is 938447. The next prime is 938453. The reversal of 938448 is 844839.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (27648) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49383 + ... + 49401.

2⁹³⁸⁴⁴⁸ is an apocalyptic number.

938448 is a gapful number since it is divisible by the number (98) 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 938448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612000).

938448 is an abundant number, since it is smaller than the sum of its proper divisors (2285552).

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

938448 is a wasteful number, since it uses less digits than its factorization.

938448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 938448 is about 968.7352579523. The cubic root of 938448 is about 97.9046692005.

The spelling of 938448 in words is "nine hundred thirty-eight thousand, four hundred forty-eight".