1304064000 has 312 divisors, whose sum is σ = 4717622832. Its totient is φ = 346521600.

The previous prime is 1304063983. The next prime is 1304064007. The reversal of 1304064000 is 4604031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304064007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607859 + ... + 4608141.

It is an arithmetic number, because the mean of its divisors is an integer number (15120586).

Almost surely, 2^1304064000 is an apocalyptic number.

1304064000 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 1304064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358811416).

1304064000 is an abundant number, since it is smaller than the sum of its proper divisors (3413558832).

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

1304064000 is an equidigital number, since it uses as much as digits as its factorization.

1304064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1304064000 is about 36111.8263177037. The cubic root of 1304064000 is about 1092.5289873563.

Adding to 1304064000 its reverse (4604031), we get a palindrome (1308668031).

The spelling of 1304064000 in words is "one billion, three hundred four million, sixty-four thousand".