1305304000 has 448 divisors, whose sum is σ = 4366881792. Its totient is φ = 373248000.

The previous prime is 1305303991. The next prime is 1305304037. The reversal of 1305304000 is 4035031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8007919 + ... + 8008081.

It is an arithmetic number, because the mean of its divisors is an integer number (9747504).

Almost surely, 2^1305304000 is an apocalyptic number.

1305304000 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 1305304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183440896).

1305304000 is an abundant number, since it is smaller than the sum of its proper divisors (3061577792).

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

1305304000 is a wasteful number, since it uses less digits than its factorization.

1305304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1305304000 is about 36128.9911290088. The cubic root of 1305304000 is about 1092.8751633050.

Adding to 1305304000 its reverse (4035031), we get a palindrome (1309339031).

The spelling of 1305304000 in words is "one billion, three hundred five million, three hundred four thousand".