601304000 has 112 divisors (see below), whose sum is σ = 1624742496. Its totient is φ = 218624000.

The previous prime is 601303999. The next prime is 601304087. The reversal of 601304000 is 403106.

601304000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84584 + ... + 91416.

Almost surely, 2^601304000 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 601304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812371248).

601304000 is an abundant number, since it is smaller than the sum of its proper divisors (1023438496).

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

601304000 is a wasteful number, since it uses less digits than its factorization.

601304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 601304000 is about 24521.5007697327. The cubic root of 601304000 is about 844.0432432940.

Adding to 601304000 its reverse (403106), we get a palindrome (601707106).

The spelling of 601304000 in words is "six hundred one million, three hundred four thousand".