533164800 has 216 divisors, whose sum is σ = 2011426816. Its totient is φ = 121835520.

The previous prime is 533164799. The next prime is 533164867. The reversal of 533164800 is 8461335.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132417 + ... + 136383.

Almost surely, 2^533164800 is an apocalyptic number.

533164800 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 533164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005713408).

533164800 is an abundant number, since it is smaller than the sum of its proper divisors (1478262016).

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

533164800 is a wasteful number, since it uses less digits than its factorization.

533164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3984 counting only the distinct ones).

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

The square root of 533164800 is about 23090.3616255788. The cubic root of 533164800 is about 810.8748359292.

The spelling of 533164800 in words is "five hundred thirty-three million, one hundred sixty-four thousand, eight hundred".