549133200 has 540 divisors, whose sum is σ = 2426840208. Its totient is φ = 113702400.

The previous prime is 549133153. The next prime is 549133253. The reversal of 549133200 is 2331945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1940259 + ... + 1940541.

Almost surely, 2^549133200 is an apocalyptic number.

549133200 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 549133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213420104).

549133200 is an abundant number, since it is smaller than the sum of its proper divisors (1877707008).

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

549133200 is a wasteful number, since it uses less digits than its factorization.

549133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 549133200 is about 23433.5912740664. The cubic root of 549133200 is about 818.8906275160.

The spelling of 549133200 in words is "five hundred forty-nine million, one hundred thirty-three thousand, two hundred".