638304 has 48 divisors (see below), whose sum is σ = 1718640. Its totient is φ = 207360.

The previous prime is 638303. The next prime is 638317. The reversal of 638304 is 403836.

638304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5802 + ... + 5910.

It is an arithmetic number, because the mean of its divisors is an integer number (35805).

2⁶³⁸³⁰⁴ 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 638304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859320).

638304 is an abundant number, since it is smaller than the sum of its proper divisors (1080336).

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

638304 is a wasteful number, since it uses less digits than its factorization.

638304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 638304 is about 798.9392968180. The cubic root of 638304 is about 86.1011969008.

The spelling of 638304 in words is "six hundred thirty-eight thousand, three hundred four".