609144000 has 224 divisors, whose sum is σ = 2131137216. Its totient is φ = 152780800.

The previous prime is 609143963. The next prime is 609144001. The reversal of 609144000 is 441906.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (609144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407254 + ... + 408746.

Almost surely, 2^609144000 is an apocalyptic number.

609144000 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 609144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065568608).

609144000 is an abundant number, since it is smaller than the sum of its proper divisors (1521993216).

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

609144000 is a wasteful number, since it uses less digits than its factorization.

609144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 609144000 is about 24680.8427732928. The cubic root of 609144000 is about 847.6957197142.

Adding to 609144000 its reverse (441906), we get a palindrome (609585906).

The spelling of 609144000 in words is "six hundred nine million, one hundred forty-four thousand".