1604344800 has 288 divisors, whose sum is σ = 5557144320. Its totient is φ = 400896000.

The previous prime is 1604344759. The next prime is 1604344823. The reversal of 1604344800 is 84434061.

1604344800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6885484 + ... + 6885716.

It is an arithmetic number, because the mean of its divisors is an integer number (19295640).

Almost surely, 2^1604344800 is an apocalyptic number.

1604344800 is a gapful number since it is divisible by the number (10) 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 1604344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

1604344800 is an abundant number, since it is smaller than the sum of its proper divisors (3952799520).

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

1604344800 is a wasteful number, since it uses less digits than its factorization.

1604344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1604344800 is about 40054.2731802738. The cubic root of 1604344800 is about 1170.6648277937.

Adding to 1604344800 its reverse (84434061), we get a palindrome (1688778861).

The spelling of 1604344800 in words is "one billion, six hundred four million, three hundred forty-four thousand, eight hundred".