609408576 has 224 divisors, whose sum is σ = 2075566080. Its totient is φ = 171735552.

The previous prime is 609408563. The next prime is 609408577. The reversal of 609408576 is 675804906.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (609408577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003665 + ... + 1004271.

It is an arithmetic number, because the mean of its divisors is an integer number (9265920).

Almost surely, 2^609408576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037783040).

609408576 is an abundant number, since it is smaller than the sum of its proper divisors (1466157504).

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

609408576 is a wasteful number, since it uses less digits than its factorization.

609408576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 609408576 is about 24686.2021380365. The cubic root of 609408576 is about 847.8184315192.

The spelling of 609408576 in words is "six hundred nine million, four hundred eight thousand, five hundred seventy-six".