535597920 has 720 divisors, whose sum is σ = 2358983088. Its totient is φ = 112803840.

The previous prime is 535597919. The next prime is 535597927. The reversal of 535597920 is 29795535.

535597920 is a `hidden beast` number, since 5 + 3 + 559 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (535597927) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31505752 + ... + 31505768.

Almost surely, 2^535597920 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 535597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179491544).

535597920 is an abundant number, since it is smaller than the sum of its proper divisors (1823385168).

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

535597920 is a wasteful number, since it uses less digits than its factorization.

535597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 535597920 is about 23142.9885710554. The cubic root of 535597920 is about 812.1064514600.

The spelling of 535597920 in words is "five hundred thirty-five million, five hundred ninety-seven thousand, nine hundred twenty".