609055200 has 432 divisors, whose sum is σ = 2408502096. Its totient is φ = 149299200.

The previous prime is 609055199. The next prime is 609055207. The reversal of 609055200 is 2550906.

609055200 is a `hidden beast` number, since 609 + 0 + 5 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609055207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2527080 + ... + 2527320.

Almost surely, 2^609055200 is an apocalyptic number.

609055200 is a gapful number since it is divisible by the number (60) 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 609055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204251048).

609055200 is an abundant number, since it is smaller than the sum of its proper divisors (1799446896).

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

609055200 is a wasteful number, since it uses less digits than its factorization.

609055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 609055200 is about 24679.0437416039. The cubic root of 609055200 is about 847.6545258213.

The spelling of 609055200 in words is "six hundred nine million, fifty-five thousand, two hundred".