535435120 has 80 divisors (see below), whose sum is σ = 1404954720. Its totient is φ = 187980800.

The previous prime is 535435081. The next prime is 535435129. The reversal of 535435120 is 21534535.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535435129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15030 + ... + 36010.

It is an arithmetic number, because the mean of its divisors is an integer number (17561934).

Almost surely, 2^535435120 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 535435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702477360).

535435120 is an abundant number, since it is smaller than the sum of its proper divisors (869519600).

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

535435120 is a wasteful number, since it uses less digits than its factorization.

535435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21034 (or 21028 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 535435120 is about 23139.4710397623. The cubic root of 535435120 is about 812.0241606698.

Adding to 535435120 its reverse (21534535), we get a palindrome (556969655).

The spelling of 535435120 in words is "five hundred thirty-five million, four hundred thirty-five thousand, one hundred twenty".