533825600 has 252 divisors, whose sum is σ = 1669602960. Its totient is φ = 166118400.

The previous prime is 533825599. The next prime is 533825609. The reversal of 533825600 is 6528335.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (533825609) 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, 862091 + ... + 862709.

Almost surely, 2^533825600 is an apocalyptic number.

533825600 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 533825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834801480).

533825600 is an abundant number, since it is smaller than the sum of its proper divisors (1135777360).

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

533825600 is a wasteful number, since it uses less digits than its factorization.

533825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 533825600 is about 23104.6661953814. Note that the first 3 decimals coincide. The cubic root of 533825600 is about 811.2096947931.

The spelling of 533825600 in words is "five hundred thirty-three million, eight hundred twenty-five thousand, six hundred".