604864000 has 160 divisors (see below), whose sum is σ = 1626520896. Its totient is φ = 223027200.

The previous prime is 604863979. The next prime is 604864061. The reversal of 604864000 is 468406.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 604864000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 831637 + ... + 832363.

Almost surely, 2^604864000 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 604864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813260448).

604864000 is an abundant number, since it is smaller than the sum of its proper divisors (1021656896).

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

604864000 is an equidigital number, since it uses as much as digits as its factorization.

604864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 604864000 is about 24593.9830039788. The cubic root of 604864000 is about 845.7056766316.

The spelling of 604864000 in words is "six hundred four million, eight hundred sixty-four thousand".