535489920 has 512 divisors, whose sum is σ = 2291328000. Its totient is φ = 115458048.

The previous prime is 535489909. The next prime is 535489921. The reversal of 535489920 is 29984535.

535489920 is a `hidden beast` number, since 535 + 4 + 8 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535489921) 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 63 ways as a sum of consecutive naturals, for example, 2298124 + ... + 2298356.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2^535489920 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 535489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145664000).

535489920 is an abundant number, since it is smaller than the sum of its proper divisors (1755838080).

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

535489920 is a wasteful number, since it uses less digits than its factorization.

535489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 535489920 is about 23140.6551333362. The cubic root of 535489920 is about 812.0518623803.

The spelling of 535489920 in words is "five hundred thirty-five million, four hundred eighty-nine thousand, nine hundred twenty".