533725200 has 540 divisors, whose sum is σ = 2147796560. Its totient is φ = 126904320.

The previous prime is 533725187. The next prime is 533725223. The reversal of 533725200 is 2527335.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28090791 + ... + 28090809.

Almost surely, 2^533725200 is an apocalyptic number.

533725200 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 533725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073898280).

533725200 is an abundant number, since it is smaller than the sum of its proper divisors (1614071360).

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

533725200 is a wasteful number, since it uses less digits than its factorization.

533725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 533725200 is about 23102.4933719285. The cubic root of 533725200 is about 811.1588351367.

The spelling of 533725200 in words is "five hundred thirty-three million, seven hundred twenty-five thousand, two hundred".