535304 has 48 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 205920.

The previous prime is 535303. The next prime is 535319. The reversal of 535304 is 403535.

It is a super-4 number, since 4×535304⁴ (a number of 24 digits) contains 4444 as substring.

It is a d-powerful number, because it can be written as 5 + 3⁶ + 3¹² + 5⁵ + 0 + 4 .

It is not an unprimeable number, because it can be changed into a prime (535303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6737 + ... + 6815.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2⁵³⁵³⁰⁴ 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 535304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400).

535304 is an abundant number, since it is smaller than the sum of its proper divisors (741496).

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

535304 is a wasteful number, since it uses less digits than its factorization.

535304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 535304 is about 731.6447225259. The cubic root of 535304 is about 81.1957871094.

Adding to 535304 its reverse (403535), we get a palindrome (938839).

Subtracting from 535304 its reverse (403535), we obtain a square (131769 = 363²).

The spelling of 535304 in words is "five hundred thirty-five thousand, three hundred four".