533038800 has 480 divisors, whose sum is σ = 2125578240. Its totient is φ = 111513600.

The previous prime is 533038771. The next prime is 533038921. The reversal of 533038800 is 8830335.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5989156 + ... + 5989244.

It is an arithmetic number, because the mean of its divisors is an integer number (4428288).

Almost surely, 2^533038800 is an apocalyptic number.

533038800 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 533038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062789120).

533038800 is an abundant number, since it is smaller than the sum of its proper divisors (1592539440).

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

533038800 is a wasteful number, since it uses less digits than its factorization.

533038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 533038800 is about 23087.6330532170. The cubic root of 533038800 is about 810.8109543183.

The spelling of 533038800 in words is "five hundred thirty-three million, thirty-eight thousand, eight hundred".