535385040 has 160 divisors (see below), whose sum is σ = 1761851520. Its totient is φ = 134111232.

The previous prime is 535385027. The next prime is 535385041. The reversal of 535385040 is 40583535.

It is a junction number, because it is equal to n+sod(n) for n = 535384992 and 535385010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535385041) 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 31 ways as a sum of consecutive naturals, for example, 624292 + ... + 625148.

It is an arithmetic number, because the mean of its divisors is an integer number (11011572).

Almost surely, 2^535385040 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 535385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880925760).

535385040 is an abundant number, since it is smaller than the sum of its proper divisors (1226466480).

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

535385040 is a wasteful number, since it uses less digits than its factorization.

535385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 535385040 is about 23138.3888808188. The cubic root of 535385040 is about 811.9988432931.

The spelling of 535385040 in words is "five hundred thirty-five million, three hundred eighty-five thousand, forty".