535437952 has 128 divisors (see below), whose sum is σ = 1294894080. Its totient is φ = 215654400.

The previous prime is 535437949. The next prime is 535437971. The reversal of 535437952 is 259734535.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 535437899 and 535437908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027452 + ... + 1027972.

It is an arithmetic number, because the mean of its divisors is an integer number (10116360).

Almost surely, 2^535437952 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 535437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647447040).

535437952 is an abundant number, since it is smaller than the sum of its proper divisors (759456128).

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

535437952 is a wasteful number, since it uses less digits than its factorization.

535437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its digits is 567000, while the sum is 43.

The square root of 535437952 is about 23139.5322338201. The cubic root of 535437952 is about 812.0255923082.

The spelling of 535437952 in words is "five hundred thirty-five million, four hundred thirty-seven thousand, nine hundred fifty-two".