538304 has 28 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 248064.

The previous prime is 538303. The next prime is 538309. The reversal of 538304 is 403835.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 538304.

It is not an unprimeable number, because it can be changed into a prime (538301) 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 3 ways as a sum of consecutive naturals, for example, 509 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (41148).

2⁵³⁸³⁰⁴ 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 538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

538304 is an abundant number, since it is smaller than the sum of its proper divisors (613840).

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

538304 is a wasteful number, since it uses less digits than its factorization.

538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 538304 is about 733.6920334854. The cubic root of 538304 is about 81.3471862695.

The spelling of 538304 in words is "five hundred thirty-eight thousand, three hundred four".