535824000 has 288 divisors, whose sum is σ = 1956340620. Its totient is φ = 140544000.

The previous prime is 535823999. The next prime is 535824001. The reversal of 535824000 is 428535.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (535823999) and next prime (535824001).

It can be written as a sum of positive squares in 6 ways, for example, as 90782784 + 445041216 = 9528^2 + 21096^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (535824001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8783970 + ... + 8784030.

Almost surely, 2^535824000 is an apocalyptic number.

535824000 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 535824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978170310).

535824000 is an abundant number, since it is smaller than the sum of its proper divisors (1420516620).

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

535824000 is an equidigital number, since it uses as much as digits as its factorization.

535824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 535824000 is about 23147.8724724325. The cubic root of 535824000 is about 812.2207008453.

The spelling of 535824000 in words is "five hundred thirty-five million, eight hundred twenty-four thousand".