535146304 has 168 divisors, whose sum is σ = 1380158784. Its totient is φ = 199987200.

The previous prime is 535146289. The next prime is 535146317. The reversal of 535146304 is 403641535.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4735752 + ... + 4735864.

Almost surely, 2^535146304 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 535146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690079392).

535146304 is an abundant number, since it is smaller than the sum of its proper divisors (845012480).

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

535146304 is a wasteful number, since it uses less digits than its factorization.

535146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 535146304 is about 23133.2294330039. The cubic root of 535146304 is about 811.8781313055.

Adding to 535146304 its reverse (403641535), we get a palindrome (938787839).

The spelling of 535146304 in words is "five hundred thirty-five million, one hundred forty-six thousand, three hundred four".