535397520 has 240 divisors, whose sum is σ = 1969427520. Its totient is φ = 119927808.

The previous prime is 535397509. The next prime is 535397521. The reversal of 535397520 is 25793535.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (535397521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622851 + ... + 623709.

It is an arithmetic number, because the mean of its divisors is an integer number (8205948).

Almost surely, 2^535397520 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 535397520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984713760).

535397520 is an abundant number, since it is smaller than the sum of its proper divisors (1434030000).

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

535397520 is a wasteful number, since it uses less digits than its factorization.

535397520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 39.

The square root of 535397520 is about 23138.6585609451. The cubic root of 535397520 is about 812.0051525634.

The spelling of 535397520 in words is "five hundred thirty-five million, three hundred ninety-seven thousand, five hundred twenty".