609348000 has 384 divisors, whose sum is σ = 2207761920. Its totient is φ = 146227200.

The previous prime is 609347957. The next prime is 609348007. The reversal of 609348000 is 843906.

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

It is not an unprimeable number, because it can be changed into a prime (609348007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5915949 + ... + 5916051.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^609348000 is an apocalyptic number.

609348000 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 609348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

609348000 is an abundant number, since it is smaller than the sum of its proper divisors (1598413920).

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

609348000 is a wasteful number, since it uses less digits than its factorization.

609348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 609348000 is about 24684.9751873483. The cubic root of 609348000 is about 847.7903391725.

The spelling of 609348000 in words is "six hundred nine million, three hundred forty-eight thousand".