609520800 has 432 divisors, whose sum is σ = 2372473152. Its totient is φ = 135475200.

The previous prime is 609520789. The next prime is 609520819. The reversal of 609520800 is 8025906.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8349564 + ... + 8349636.

It is an arithmetic number, because the mean of its divisors is an integer number (5491836).

Almost surely, 2^609520800 is an apocalyptic number.

609520800 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 609520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186236576).

609520800 is an abundant number, since it is smaller than the sum of its proper divisors (1762952352).

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

609520800 is a wasteful number, since it uses less digits than its factorization.

609520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 609520800 is about 24688.4750440362. The cubic root of 609520800 is about 847.8704709006.

The spelling of 609520800 in words is "six hundred nine million, five hundred twenty thousand, eight hundred".