533878200 has 288 divisors, whose sum is σ = 1932465600. Its totient is φ = 131604480.

The previous prime is 533878171. The next prime is 533878201. The reversal of 533878200 is 2878335.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533878201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2233681 + ... + 2233919.

It is an arithmetic number, because the mean of its divisors is an integer number (6709950).

Almost surely, 2^533878200 is an apocalyptic number.

533878200 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 533878200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966232800).

533878200 is an abundant number, since it is smaller than the sum of its proper divisors (1398587400).

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

533878200 is a wasteful number, since it uses less digits than its factorization.

533878200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 533878200 is about 23105.8044655450. The cubic root of 533878200 is about 811.2363378445.

It can be divided in two parts, 5338 and 78200, that added together give a palindrome (83538).

The spelling of 533878200 in words is "five hundred thirty-three million, eight hundred seventy-eight thousand, two hundred".