1304160000 has 720 divisors, whose sum is σ = 5363783040. Its totient is φ = 276480000.

The previous prime is 1304159999. The next prime is 1304160001. The reversal of 1304160000 is 614031.

It is an interprime number because it is at equal distance from previous prime (1304159999) and next prime (1304160001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304160001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68639991 + ... + 68640009.

Almost surely, 2^1304160000 is an apocalyptic number.

1304160000 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 1304160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681891520).

1304160000 is an abundant number, since it is smaller than the sum of its proper divisors (4059623040).

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

1304160000 is a wasteful number, since it uses less digits than its factorization.

1304160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1304160000 is about 36113.1554976853. The cubic root of 1304160000 is about 1092.5557959100. Note that the first 3 decimals are identical.

Adding to 1304160000 its reverse (614031), we get a palindrome (1304774031).

The spelling of 1304160000 in words is "one billion, three hundred four million, one hundred sixty thousand".