535808000 has 384 divisors, whose sum is σ = 1717148160. Its totient is φ = 162201600.

The previous prime is 535807991. The next prime is 535808003. The reversal of 535808000 is 808535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535808003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23295989 + ... + 23296011.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2^535808000 is an apocalyptic number.

535808000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

535808000 is an abundant number, since it is smaller than the sum of its proper divisors (1181340160).

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

535808000 is a wasteful number, since it uses less digits than its factorization.

535808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 535808000 is about 23147.5268657367. The cubic root of 535808000 is about 812.2126163122.

The spelling of 535808000 in words is "five hundred thirty-five million, eight hundred eight thousand".