533152800 has 144 divisors (see below), whose sum is σ = 1928314080. Its totient is φ = 142168320.

The previous prime is 533152777. The next prime is 533152801. The reversal of 533152800 is 8251335.

533152800 is a `hidden beast` number, since 533 + 1 + 52 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (533152801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9259 + ... + 33941.

It is an arithmetic number, because the mean of its divisors is an integer number (13391070).

Almost surely, 2^533152800 is an apocalyptic number.

533152800 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 533152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964157040).

533152800 is an abundant number, since it is smaller than the sum of its proper divisors (1395161280).

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

533152800 is a wasteful number, since it uses less digits than its factorization.

533152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24712 (or 24693 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 533152800 is about 23090.1017754362. The cubic root of 533152800 is about 810.8687523999.

The spelling of 533152800 in words is "five hundred thirty-three million, one hundred fifty-two thousand, eight hundred".