638448 has 40 divisors (see below), whose sum is σ = 1690368. Its totient is φ = 207552.

The previous prime is 638437. The next prime is 638453. The reversal of 638448 is 844836.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2115 + ... + 2397.

2⁶³⁸⁴⁴⁸ 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 638448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845184).

638448 is an abundant number, since it is smaller than the sum of its proper divisors (1051920).

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

638448 is a wasteful number, since it uses less digits than its factorization.

638448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 638448 is about 799.0294112234. The cubic root of 638448 is about 86.1076711618.

The spelling of 638448 in words is "six hundred thirty-eight thousand, four hundred forty-eight".