535508820 has 432 divisors, whose sum is σ = 2142661248. Its totient is φ = 109175040.

The previous prime is 535508803. The next prime is 535508833. The reversal of 535508820 is 28805535.

535508820 is a `hidden beast` number, since 5 + 3 + 550 + 88 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10103914 + ... + 10103966.

It is an arithmetic number, because the mean of its divisors is an integer number (4959864).

Almost surely, 2^535508820 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 535508820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071330624).

535508820 is an abundant number, since it is smaller than the sum of its proper divisors (1607152428).

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

535508820 is a wasteful number, since it uses less digits than its factorization.

535508820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 535508820 is about 23141.0635019223. The cubic root of 535508820 is about 812.0614159990.

The spelling of 535508820 in words is "five hundred thirty-five million, five hundred eight thousand, eight hundred twenty".